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Second–Order Generalized Derivatives : Relationships with Convergence Notions
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2024
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Jean‐Paul Penot
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+
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The Semiconvex Regularization of Functions
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2023
|
Van Huynh Ngai
Jean‐Paul Penot
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+
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On the Basins of Attraction of Gradient Vector Fields
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2023
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Jean‐Paul Penot
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PDF
Chat
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What is a Lipschitzian Manifold?
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2022
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Jean‐Paul Penot
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A Versatile Approach to Metric Regularity, Openness, and Lipschitzian Properties
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2019
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Jean‐Paul Penot
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Error Bounds and Multipliers in Constrained Optimization Problems with Tolerance
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2019
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Jean‐Paul Penot
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Helping You Finding an Appropriate Regularization Process
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2018
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Huynh Van Ngai
Jean‐Paul Penot
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+
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Representation of generalized monotone multimaps
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2018
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Jean‐Paul Penot
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Revisiting some Rules of Convex Analysis
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2017
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Jean‐Paul Penot
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PDF
Chat
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Subdifferentiation of integral functionals
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2017
|
Emmanuel Giner
Jean‐Paul Penot
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PDF
Chat
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Subdifferentiation of integral functionals
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2017
|
Emmanuel Giner
Jean‐Paul Penot
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+
PDF
Chat
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Higher-Order Optimality Conditions and Higher-Order Tangent Sets
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2017
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Jean‐Paul Penot
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+
PDF
Chat
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Least squares solutions of linear inequality systems: a pedestrian approach
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2016
|
Luis Contesse
Jean‐Baptiste Hiriart‐Urruty
Jean‐Paul Penot
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Subdifferentiation of Regularized Functions
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2016
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Huynh Van Ngai
Jean‐Paul Penot
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+
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Subdifferentiation of regularized functions
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2016
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Huynh Van Ngai
Jean‐Paul Penot
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+
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Encounters With Limits
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2016
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Jean‐Paul Penot
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+
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The Power of Differential Calculus
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2016
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Jean‐Paul Penot
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+
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Elements of Functional Analysis
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2016
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Jean‐Paul Penot
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Partial Differential Equations
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2016
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Jean‐Paul Penot
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+
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Differentiation and Integration
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2016
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Jean‐Paul Penot
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+
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A Touch of Convex Analysis
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2016
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Jean‐Paul Penot
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+
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Sets, Orders, Relations and Measures
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2016
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Jean‐Paul Penot
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+
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Evolution Problems
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2016
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Jean‐Paul Penot
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+
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Hilbert Spaces
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2016
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Jean‐Paul Penot
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+
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Integration
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2016
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Jean‐Paul Penot
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+
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On the relations between some second-order derivatives
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2015
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Jean‐Paul Penot
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+
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Projective dualities for quasiconvex problems
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2014
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Jean‐Paul Penot
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+
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Optimality Conditions in Semidefinite Programming
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2014
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Jean‐Paul Penot
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+
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A note on the connection between Chaney’s derivatives and epi-derivatives
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2014
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Liren Huang
Jean‐Paul Penot
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+
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A note on the connection between Chaney's derivatives and epi-derivatives
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2014
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Liren Huang
Jean‐Paul Penot
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+
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Conjugacies adapted to lower semicontinuous functions
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2013
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Jean‐Paul Penot
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Conciliating Generalized Derivatives
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2013
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Jean‐Paul Penot
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Directionally limiting subdifferentials and second-order optimality conditions
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2013
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Jean‐Paul Penot
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Semigroups of Relations and Subdifferentials of the Minimal Time Function and of the Geodesic Distance
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2013
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Jean‐Paul Penot
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Semigroups of relationsand subdifferentils of the minimal time function and of the geodesic distance
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2013
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Jean‐Paul Penot
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+
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Conciliating generalized derivatives
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2013
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Jean‐Paul Penot
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+
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Conciliating generalized derivatives
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2013
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Jean‐Paul Penot
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+
PDF
Chat
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Legendre functions and the theory of characteristics
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2012
|
Jean‐Paul Penot
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+
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Elements of Differential Calculus
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2012
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Jean‐Paul Penot
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+
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Elementary and Viscosity Subdifferentials
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2012
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Jean‐Paul Penot
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+
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Elements of Convex Analysis
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2012
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Jean‐Paul Penot
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+
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Metric and Topological Tools
|
2012
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Jean‐Paul Penot
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+
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Circa-Subdifferentials, Clarke Subdifferentials
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2012
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Jean‐Paul Penot
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Graded Subdifferentials, Ioffe Subdifferentials
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2012
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Jean‐Paul Penot
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+
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Limiting Subdifferentials
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2012
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Jean‐Paul Penot
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PDF
Chat
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Generalized Affine Functions and Generalized Differentials
|
2012
|
Nguyen Thi Hong Linh
Jean‐Paul Penot
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+
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Journal of Convex Analysis
|
2012
|
Giuseppe Buttazzo
Lionel Thibault
Roger J.‐B. Wets
Hédy Attouch
A. Auslender
D. Azé
Erik J. Balder
B. Bank
Gerald Beer
Aharon Ben‐Tal
|
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+
PDF
Chat
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Generalized convex functions and generalized differentials
|
2011
|
Nguyen Thi Hong Linh
Jean‐Paul Penot
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+
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Codifferential Calculus
|
2010
|
Shengjie Li
Jean‐Paul Penot
Xiaowei Xue
|
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+
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Image space approach and subdifferentials of integral functionals
|
2010
|
Jean‐Paul Penot
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+
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The directional subdifferential of the difference of two convex functions
|
2010
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Jean‐Paul Penot
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+
PDF
Chat
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A SHORT PROOF OF THE SEPARABLE REDUCTION THEOREM
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2010
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Jean‐Paul Penot
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+
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Error bounds, calmness and their applications in nonsmooth analysis
|
2010
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Jean‐Paul Penot
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+
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A short proof of the separable reduction theorem
|
2010
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Jean‐Paul Penot
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+
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Are dualities appropriate for duality theories in optimization?
|
2009
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Jean‐Paul Penot
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Calculus Rules for Derivatives of Multimaps
|
2009
|
S. J. Li
Kaiwen Meng
Jean‐Paul Penot
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+
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Ekeland Duality as a Paradigm
|
2009
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Jean‐Paul Penot
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+
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Calculus rules for derivatives of multimaps
|
2009
|
S. J. Li
Kaiwen Meng
Jean‐Paul Penot
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PDF
Chat
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IN ASPLUND SPACES, APPROXIMATELY CONVEX FUNCTIONS AND REGULAR FUNCTIONS ARE GENERICALLY DIFFERENTIABLE
|
2008
|
Ngai Huynh Van
Jean‐Paul Penot
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+
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Persistence and stability of solutions of Hamilton–Jacobi equations
|
2008
|
Jean‐Paul Penot
Constantin Zălinescu
|
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+
PDF
Chat
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On the Subdifferentiability of the Difference of Two Functions and Local Minimization
|
2008
|
Tijani Amahroq
Jean‐Paul Penot
Aïcha Syam
|
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+
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Natural closures, natural compositions and natural sums of monotone operators
|
2008
|
Jean‐Paul Penot
|
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+
PDF
Chat
|
Paraconvex functions and paraconvex sets
|
2008
|
Huynh Van Ngai
Jean‐Paul Penot
|
|
+
PDF
Chat
|
Delineating nice classes of nonsmooth functions
|
2008
|
Jean‐Paul Penot
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+
PDF
Chat
|
Gap Continuity of Multimaps
|
2007
|
Jean‐Paul Penot
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+
PDF
Chat
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In Asplund spaces, approximately convex functions and regular functions are generically differentiable
|
2007
|
Ngai Huynh Van
Jean‐Paul Penot
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+
PDF
Chat
|
Duality methods for the study of Hamilton-Jacobi equations
|
2007
|
Jean‐Paul Penot
Michel Volle
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+
PDF
Chat
|
Infinitesimal calculus in metric spaces
|
2007
|
Jean‐Paul Penot
|
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+
PDF
Chat
|
Glimpses upon quasiconvex analysis
|
2007
|
Jean‐Paul Penot
|
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+
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Infinitesimal calculus in metric spaces
|
2007
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Jean‐Paul Penot
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+
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Critical duality
|
2007
|
Jean‐Paul Penot
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+
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Convex analysis can be helpful for the asymptotic analysis of monotone operators
|
2007
|
Jean‐Paul Penot
Constantin Zălinescu
|
|
+
PDF
Chat
|
Duality methods for the study of Hamilton–Jacobi equations
|
2007
|
Jean‐Paul Penot
Michel Volle
|
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+
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Bounded (Hausdorff) Convergence: Basic Facts and Applications
|
2007
|
Jean‐Paul Penot
Constantin Zălinescu
|
|
+
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Softness, sleekness and regularity properties in nonsmooth analysis
|
2007
|
Jean‐Paul Penot
|
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+
PDF
Chat
|
Glimpses upon quasiconvex analysis
|
2007
|
Jean‐Paul Penot
|
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+
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EXPLORING THE JUNGLE OF NONSMOOTH ANALYSIS
|
2007
|
Jean‐Paul Penot
|
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+
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TOUT CE QUE VOUS AVEZ TOUJOURS VOULU SAVOIR SUR LA DUALIT E SANS JAMAIS OSER LE DEMANDER
|
2007
|
Jean‐Paul Penot
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+
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Rambling Through Local Versions of Generalized Convex Functions and Generalized Monotone Operators
|
2006
|
Huynh Van Ngai
Jean‐Paul Penot
|
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+
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Monotonicity and Dualities
|
2006
|
Jean‐Paul Penot
|
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+
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Tangentially ds functions
|
2006
|
Elisa Caprari
Jean‐Paul Penot
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+
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Approximately convex functions and approximately monotonic operators
|
2006
|
Huynh Van Ngai
Jean‐Paul Penot
|
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+
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Subdifferentials of Distance Functions, Approximations and Enlargements
|
2006
|
Jean‐Paul Penot
Robert Ratsimahalo
|
|
+
PDF
Chat
|
Regularization by erasement
|
2006
|
Juan Enrique Martínez-Legaz
Jean‐Paul Penot
|
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+
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Noncoercive problems and asymptotic conditions
|
2006
|
Jean‐Paul Penot
|
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+
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Optimality Conditions for Quasiconvex Programs
|
2006
|
Nguyen Thi Hong Linh
Jean‐Paul Penot
|
|
+
PDF
Chat
|
Generalized affine maps and generalized convex functions
|
2006
|
Thi Hong Linh Nguyen
Jean‐Paul Penot
|
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+
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On the convergence of maximal monotone operators
|
2005
|
Jean‐Paul Penot
Constantin Zălinescu
|
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+
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On the existence of Lagrange multipliers in nonlinear programming in Banach spaces
|
2005
|
Jean‐Paul Penot
|
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+
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Unilateral Analysis and Duality
|
2005
|
Jean‐Paul Penot
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+
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Multipliers and general Lagrangians
|
2005
|
Jean‐Paul Penot
A. M. Rubinov
|
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+
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The Use of Nonsmooth Analysis and of Duality Methods for the Study of Hamilton-Jacobi Equations
|
2005
|
Jean‐Paul Penot
|
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+
PDF
Chat
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Some problems about the representation of monotone operators by convex functions
|
2005
|
Jean‐Paul Penot
Constantin Zălinescu
|
|
+
|
A comparative study of various notions of approximation of sets
|
2005
|
Ali Agadi
Jean‐Paul Penot
|
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+
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Inversion of multifunctions and differential inclusions
|
2005
|
Khadra Nachi
Jean‐Paul Penot
|
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+
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Continuity properties of projection operators
|
2005
|
Jean‐Paul Penot
|
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+
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Bounded convergence for perturbed minimization problems
|
2004
|
Jean‐Paul Penot
Constantin Zălinescu
|
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+
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Continuity of the Legendre–Fenchel transform for some variational convergences
|
2004
|
Jean‐Paul Penot
Constantin Zălinescu
|
|
+
|
Calmness and Stability Properties of Marginal and Performance Functions
|
2004
|
Jean‐Paul Penot
|
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+
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The relevance of convex analysis for the study of monotonicity
|
2004
|
Jean‐Paul Penot
|
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+
PDF
Chat
|
Differentiability Properties of Optimal Value Functions
|
2004
|
Jean‐Paul Penot
|
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+
PDF
Chat
|
A representation of maximal monotone operators by closed convex functions and its impact on calculus rules
|
2004
|
Jean‐Paul Penot
|
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+
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Surrogate Programming and Multipliers in Quasi-convex Programming
|
2004
|
Jean‐Paul Penot
Michel Volle
|
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+
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A metric approach to asymptotic analysis
|
2003
|
Jean‐Paul Penot
|
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+
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Lagrangian Approach to Quasiconvex Programing
|
2003
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Jean‐Paul Penot
|
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+
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Characterization of Solution Sets of Quasiconvex Programs
|
2003
|
Jean‐Paul Penot
|
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+
PDF
Chat
|
Autoconjugate functions and representations of monotone operators
|
2003
|
Jean‐Paul Penot
|
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+
PDF
Chat
|
A fixed-point theorem for asymptotically contractive mappings
|
2003
|
Jean‐Paul Penot
|
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+
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Rotundity, smoothness and duality
|
2003
|
Jean‐Paul Penot
|
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+
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Is Convexity Useful for the Study of Monotonicity?
|
2003
|
Jean‐Paul Penot
|
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+
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None
|
2003
|
Jean‐Paul Penot
Constantin Zălinescu
|
|
+
PDF
Chat
|
Integration of multivalued operators and cyclic submonotonicity
|
2002
|
Aris Daniilidis
Pando Georgiev
Jean‐Paul Penot
|
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+
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None
|
2002
|
Jean‐Paul Penot
|
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+
|
Lower Subdifferentiability and Integration
|
2002
|
Mohammed Bachir
Aris Daniilidis
Jean‐Paul Penot
|
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+
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Lipschitzian Behavior of the Fenchel Biconjugacy
|
2002
|
Jean‐Paul Penot
|
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+
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A duality for starshaped functions
|
2002
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Jean‐Paul Penot
|
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+
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Variational Subdifferential for Quasiconvex Functions
|
2001
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Jean‐Paul Penot
|
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+
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On the Yosida approximation of operators
|
2001
|
Jean‐Paul Penot
Robert Ratsimahalo
|
|
+
PDF
Chat
|
Convergence of asymptotic directions
|
2001
|
Dinh The Luc
Jean‐Paul Penot
|
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+
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None
|
2001
|
Jean‐Paul Penot
|
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+
|
None
|
2001
|
Jean‐Paul Penot
|
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+
|
Convexity and Generalized Convexity Methods for the Study of Hamilton-Jacobi Equations
|
2001
|
Jean‐Paul Penot
Michel Volle
|
|
+
|
Approximation of Functions and Sets
|
2001
|
Jean‐Paul Penot
Constantin Zălinescu
|
|
+
|
Generalized Convexity and Generalized Monotonicity
|
2001
|
Nicolas Hadjisavvas
Juan Enrique Martínez-Legaz
Jean‐Paul Penot
|
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+
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Generalized convexity and generalized monotonicity : proceedings of the 6th International Symposium on Generalized Convexity/Monotonicity, Samos, September 1999
|
2001
|
Nicolas Hadjisavvas
Juan Enrique Martínez-Legaz
Jean‐Paul Penot
|
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+
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What is quasiconvex analysis?
|
2000
|
Jean‐Paul Penot
|
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+
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On Minimizing and Critical Sequences in Nonsmooth Optimization
|
2000
|
Liren Huang
K. F. Ng
Jean‐Paul Penot
|
|
+
|
Elements of quasiconvex subdifferential calculus.
|
2000
|
Jean‐Paul Penot
Constantin Zălinescu
|
|
+
|
Recent Advances on Second-Order Optimality Conditions
|
2000
|
Jean‐Paul Penot
|
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+
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ARE GENERALIZED DERIVATIVES USEFUL FOR GENERALIZED CONVEX FUNCTIONS
|
1999
|
Jean‐Paul Penot
|
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+
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Some Links Between Approximation, Nonsmooth Analysis, Penalization and Regularization
|
1999
|
Jean‐Paul Penot
|
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+
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Cooperative behavior of functions, relations and sets
|
1998
|
Jean‐Paul Penot
|
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+
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Proximal Mappings
|
1998
|
Jean‐Paul Penot
|
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+
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Subtraction Theorems and Approximate Openness for Multifunctions: Topological and Infinitesimal Viewpoints
|
1998
|
D. Azé
Chin Cheng Chou
Jean‐Paul Penot
|
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+
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Are Generalized Derivatives Sseful for Generalized Convex Functions?
|
1998
|
Jean‐Paul Penot
|
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+
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Optimality conditions for mildly nonsmooth constrained optimization
|
1998
|
Jean‐Paul Penot
|
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+
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Second-Order Conditions for Optimization Problems with Constraints
|
1998
|
Jean‐Paul Penot
|
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+
|
Characterizations of generalized convexities via generalized directional derivatives
|
1998
|
Phạm Hữu Sách
Jean‐Paul Penot
|
|
+
PDF
Chat
|
Characterizations of metric projections in Banach spaces and applications
|
1998
|
Jean‐Paul Penot
Robert Ratsimahalo
|
|
+
|
None
|
1998
|
Jean‐Paul Penot
|
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+
|
Generalized Monotonicity of Subdifferentials and Generalized Convexity
|
1997
|
Jean‐Paul Penot
Phạm Hữu Sách
|
|
+
|
Mean-Value Theorem with Small Subdifferentials
|
1997
|
Jean‐Paul Penot
|
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+
|
Multipliers and Generalized Derivatives of Performance Functions
|
1997
|
Jean‐Paul Penot
|
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+
|
Generalized Convexity of Functions and Generalized Monotonicity of Set-Valued Maps
|
1997
|
Jean‐Paul Penot
P. H. Quang
|
|
+
PDF
Chat
|
Limiting subhessians, limiting subjets and their calculus
|
1997
|
A. D. Ioffe
Jean‐Paul Penot
|
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+
|
None
|
1997
|
Jean‐Paul Penot
|
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+
|
TECHNICAL NOTE Generalized Monotonicity of Subdifferentials and Generalized Convexity1
|
1997
|
Jean‐Paul Penot
Phạm Hữu Sách
|
|
+
|
Conditioning convex and nonconvex problems
|
1996
|
Jean‐Paul Penot
|
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+
|
Favorable classes of mappings and multimappings in nonlinear analysis and optimization.
|
1996
|
Jean‐Paul Penot
|
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+
|
Subdieren tial Calculus Without Qualication Assumptions
|
1996
|
Jean‐Paul Penot
|
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+
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On the Interchange of Subdifferentiation and Epi-Convergence
|
1995
|
Jean‐Paul Penot
|
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+
|
Miscellaneous Incidences of Convergence Theories in Optimization and Nonlinear Analysis, Part II: Applications in Nonsmooth Analysis
|
1995
|
Jean‐Paul Penot
|
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+
|
Infinite products of relations, set-valued series and uniform openness of multifunctions
|
1995
|
Chin-Cheng Chou
Jean‐Paul Penot
|
|
+
|
Generalized Convexity in the Light of Nonsmooth Analysis
|
1995
|
Jean‐Paul Penot
|
|
+
PDF
Chat
|
Uniformly convex and uniformly smooth convex functions
|
1995
|
D. Azé
Jean‐Paul Penot
|
|
+
|
Generalized derivatives and generalized convexities
|
1994
|
Jean‐Paul Penot
P. H. Quang
Phạm Hữu Sách
|
|
+
|
Optimality conditions in mathematical programming and composite optimization
|
1994
|
Jean‐Paul Penot
|
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+
|
Sub-hessians, super-hessians and conjugation
|
1994
|
Jean‐Paul Penot
|
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+
|
Second-order moderate derivatives
|
1994
|
Philippe Michel
Jean‐Paul Penot
|
|
+
|
Miscellaneous incidences of convergence theories in optimization and nonlinear analysis I: Behavior of solutions
|
1994
|
Jean‐Paul Penot
|
|
+
PDF
Chat
|
The Joly topology and the Mosco-Beer topology revisited
|
1993
|
D. Azé
Jean‐Paul Penot
|
|
+
|
Preservation of persistence and stability under intersections and operations, part 1: Persistence
|
1993
|
Jean‐Paul Penot
|
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+
|
Preservation of persistence and stability under intersections and operations, part 2: Stability
|
1993
|
Jean‐Paul Penot
|
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+
|
On the convergence of subdifferentials of convex functions
|
1993
|
Jean‐Paul Penot
|
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+
|
Metrically well-set minimization problems
|
1992
|
Ewa M. Bednarczuk
Jean‐Paul Penot
|
|
+
|
Topologies and convergences on the space of convex functions
|
1992
|
Jean‐Paul Penot
|
|
+
PDF
Chat
|
The Cosmic Hausdorff Topology, the Bounded Hausdorff Topology and Continuity of Polarity
|
1991
|
Jean‐Paul Penot
|
|
+
|
Continuity of the fenchel correspondence and continuity of polarities
|
1991
|
Luis Contesse
Jean‐Paul Penot
|
|
+
|
Continuity of the approximate subdifferential
|
1991
|
Luis Contesse
Jean‐Paul Penot
|
|
+
|
Towards minimal assumptions for the infimal convolution regularization
|
1991
|
M. L. Bougeard
Jean‐Paul Penot
Alain Pommellet
|
|
+
PDF
Chat
|
The cosmic Hausdorff topology, the bounded Hausdorff topology and continuity of polarity
|
1991
|
Jean‐Paul Penot
|
|
+
|
Topological stability results about approximate solutions of parametrized minimization problems
|
1991
|
Jean‐Paul Penot
Michel Volle
|
|
+
|
On Quasi-Convex Duality
|
1990
|
Jean‐Paul Penot
Michel Volle
|
|
+
|
Inversion of real-valued functions and applications
|
1990
|
Jean‐Paul Penot
Michel Volle
|
|
+
|
Operations on convergent families of sets and functions
|
1990
|
D. Azé
Jean‐Paul Penot
|
|
+
|
On Strongly Convex and Paraconvex Dualities
|
1990
|
Jean‐Paul Penot
Michel Volle
|
|
+
|
Parametrized multicriteria optimization; Order continuity of the marginal multifunctions
|
1989
|
Jean‐Paul Penot
Alicja Sterna-Karwat
|
|
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Comparing New Notions of Tangent Cones
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1989
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Alejandro Jofré
Jean‐Paul Penot
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Metric regularity, openness and Lipschitzian behavior of multifunctions
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1989
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Jean‐Paul Penot
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Erratum: Differentiability of Relations and Differential Stability of Perturbed Optimization Problems
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1988
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Jean‐Paul Penot
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Approximation and decomposition properties of some classes of locally D.C. functions
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1988
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Jean‐Paul Penot
M. L. Bougeard
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On the mean value theorem
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1988
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Jean‐Paul Penot
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Local minimality versus spongious minimality
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1988
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Jean‐Paul Penot
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Parametrized multicriteria optimization: Continuity and closedness of optimal multifunctions
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1986
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Jean‐Paul Penot
Alicja Sterna-Karwat
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A new constraint qualification condition
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1986
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Jean‐Paul Penot
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The drop theorem, the petal theorem and Ekeland's variational principle
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1986
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Jean‐Paul Penot
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Open mappings theorems and linearization stability
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1985
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Jean‐Paul Penot
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PDF
Chat
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A characterization of Clarke’s strict tangent cone via nonlinear semigroups
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1985
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Jean‐Paul Penot
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Variations on the Theme of Nonsmooth Analysis: Another Subdifferential
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1985
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Jean‐Paul Penot
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Conjugate convex operators
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1984
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Jonathan M. Borwein
Jean‐Paul Penot
Michel Théra
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Differentiability of Relations and Differential Stability of Perturbed Optimization Problems
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1984
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Jean‐Paul Penot
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PDF
Chat
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Surjectivity of multifunctions under generalized differentiability assumptions
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1983
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Serge Gautier
G. Isac
Jean‐Paul Penot
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Compact nets, filters, and relations
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1983
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Jean‐Paul Penot
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Semi-continuous mappings in general topology
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1982
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Jean‐Paul Penot
Michel Théra
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On regularity conditions in mathematical programming
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1982
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Jean‐Paul Penot
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Critical Paths and Passes: Application to Quantum Chemistry
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1981
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D. Liotard
Jean‐Paul Penot
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PDF
Chat
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Fixed point theorems without convexity
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1979
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Jean‐Paul Penot
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Calcul sous-differentiel et optimisation
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1978
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Jean‐Paul Penot
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PDF
Chat
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A remark on the direct method of the calculus of variations
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1977
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Jean‐Paul Penot
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Champs mesurables et multisections
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1976
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Claude Delode
Omar Bouazza Ariño
Jean‐Paul Penot
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PDF
Chat
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Topologie faible sur des variétés de Banach. Application aux géodésiques des variétés de Sobolev
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1974
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Jean‐Paul Penot
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PDF
Chat
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Calcul différentiel dans les espaces vectoriels topologiques
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1973
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Jean‐Paul Penot
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PDF
Chat
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Sur le théorème de Frobenius
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1970
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Jean‐Paul Penot
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La structure des groupes de Lie
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1968
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G. Hochschild
Jean‐Paul Penot
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