A. D. Ioffe

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All published works
Action Title Year Authors
+ PDF Chat On necessary conditions in the generalized Bolza problem 2023 A. D. Ioffe
+ An Elementary Proof of the Pontryagin Maximum Principle 2020 A. D. Ioffe
+ On Generalized Bolza Problem and Its Application to Dynamic Optimization 2019 A. D. Ioffe
+ Variational Analysis of Regular Mappings: Theory and Applications 2018 A. D. Ioffe
+ Separable reduction of local metric regularity 2018 Marián Fabián
A. D. Ioffe
J. P. Revalski
+ Transversality in Variational Analysis 2017 A. D. Ioffe
+ Implicit Functions: a Metric Theory 2017 A. D. Ioffe
+ Banach Space Theory: Special Classes of Mappings 2017 A. D. Ioffe
+ Metric Theory: The Infinitesimal Viewpoint 2017 A. D. Ioffe
+ Applications to Analysis and Optimization 1 2017 A. D. Ioffe
+ Metric Theory: Phenomenology 2017 A. D. Ioffe
+ The Classical Theory 2017 A. D. Ioffe
+ Applications to Analysis and Optimization 2 2017 A. D. Ioffe
+ Nonsmooth optimization using Taylor-like models: error bounds, convergence, and termination criteria 2016 Dmitriy Drusvyatskiy
A. D. Ioffe
Adrian S. Lewis
+ On Necessary Conditions for a Minimum 2016 A. D. Ioffe
+ PDF Chat Generic Minimizing Behavior in Semialgebraic Optimization 2016 Dmitriy Drusvyatskiy
A. D. Ioffe
Adrian S. Lewis
+ SINGLE-VALUED REPRESENTATION 2016 A. D. Ioffe
+ Nonsmooth optimization using Taylor-like models: error bounds, convergence, and termination criteria 2016 Dmitriy Drusvyatskiy
A. D. Ioffe
Adrian S. Lewis
+ PDF Chat Transversality and Alternating Projections for Nonconvex Sets 2015 Dmitriy Drusvyatskiy
A. D. Ioffe
Adrian S. Lewis
+ On primal regularity estimates for single-valued mappings 2015 Radek Cibulka
Marián Fabian
A. D. Ioffe
+ Metric Regularity. Theory and Applications - a survey 2015 A. D. Ioffe
+ Polyhedrality,Complementarity and Regularity with Applications to Variational Inequalities over Polyhedral Sets 2015 A. D. Ioffe
+ Generic minimizing behavior in semi-algebraic optimization 2015 Dmitriy Drusvyatskiy
A. D. Ioffe
Adrian S. Lewis
+ PDF Chat Quadratic growth and critical point stability of semi-algebraic functions 2014 Dmitriy Drusvyatskiy
A. D. Ioffe
+ PDF Chat Clarke Subgradients for Directionally Lipschitzian Stratifiable Functions 2014 Dmitriy Drusvyatskiy
A. D. Ioffe
Adrian S. Lewis
+ PDF Chat Erratum to: Metric regularity, fixed points and some associated problems of variational analysis 2014 A. D. Ioffe
+ Metric regularity, fixed points and some associated problems of variational analysis 2014 A. D. Ioffe
+ Alternating projections and coupling slope 2014 Dmitriy Drusvyatskiy
A. D. Ioffe
Adrian S. Lewis
+ Separable Reduction in the Theory of Fréchet Subdifferentials 2013 Marián Fabian
A. D. Ioffe
+ Separable Reduction of Metric Regularity Properties 2013 A. D. Ioffe
+ Nonlinear regularity models 2013 A. D. Ioffe
+ Quadratic growth and critical point stability of semi-algebraic functions 2013 Dmitriy Drusvyatskiy
A. D. Ioffe
+ Convexity and Variational Analysis 2013 A. D. Ioffe
+ Curves of Descent 2012 Dmitriy Drusvyatskiy
A. D. Ioffe
Adrian S. Lewis
+ Clarke subgradients for directionally Lipschitzian stratifiable functions 2012 Dmitriy Drusvyatskiy
A. D. Ioffe
Adrian S. Lewis
+ PDF Chat Erratum On the theory of subdifferentials [Adv. Nonlinear Anal. 1 (2012), 47–120] 2012 A. D. Ioffe
+ PDF Chat On the theory of subdifferentials 2012 A. D. Ioffe
+ 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
+ Clarke subgradients for directionally Lipschitzian stratifiable functions 2012 Dmitriy Drusvyatskiy
A. D. Ioffe
Adrian S. Lewis
+ PDF Chat The dimension of semialgebraic subdifferential graphs 2011 Dmitriy Drusvyatskiy
A. D. Ioffe
Adrian S. Lewis
+ A note on subdifferentials of pointwise suprema 2011 A. D. Ioffe
+ Separable reduction revisited 2011 A. D. Ioffe
+ Variational analysis and mathematical economics 2: Nonsmooth regular economies 2010 A. D. Ioffe
+ Towards variational analysis in metric spaces: metric regularity and fixed points 2009 A. D. Ioffe
+ Variational analysis and mathematical economics 1: Subdifferential calculus and the second theorem of welfare economics 2009 A. D. Ioffe
+ An Invitation to Tame Optimization 2009 A. D. Ioffe
+ Critical values of set-valued maps with stratifiable graphs. Extensions of Sard and Smale-Sard theorems 2008 A. D. Ioffe
+ On regularity of convex multifunctions 2008 A. D. Ioffe
+ On regularity concepts in variational analysis 2008 A. D. Ioffe
+ On Metric and Calmness Qualification Conditions in Subdifferential Calculus 2008 A. D. Ioffe
Jiří V. Outrata
+ PDF Chat Critical points of simple functions 2008 A. D. Ioffe
Adrian S. Lewis
+ Regularity estimates for convex multifunctions 2007 A. D. Ioffe
Yoshiyuki Sekiguchi
+ Optimality Alternative: a Non-Variational Approach to Necessary Conditions 2007 A. D. Ioffe
+ PDF Chat A Sard theorem for tame set-valued mappings 2007 A. D. Ioffe
+ Variational problem associated with a model of welfare economics with a measure spaces of agents 2007 A. D. Ioffe
+ On regularity estimates for mappings between embedded manifolds 2007 A. D. Ioffe
+ On some recent developments in the theory of second order optimality conditions 2006 A. D. Ioffe
+ Typical convex program is very well posed 2005 A. D. Ioffe
Roberto Lucchetti
+ PDF Chat Generic well‐posedness in minimization problems 2005 A. D. Ioffe
Roberto Lucchetti
+ Almost Every Convex or Quadratic Programming Problem Is Well Posed 2004 A. D. Ioffe
Roberto Lucchetti
J. P. Revalski
+ On stability estimates for the regularity property of maps 2003 A. D. Ioffe
+ On robustness of the regularity property of maps 2003 A. D. Ioffe
+ Nonsmoothness and nonconvexity in calculus of variations and optimal control 2002 A. D. Ioffe
+ Convergence and extensions of variational problems with non-coercive functionals 2002 A. D. Ioffe
+ A Variational Principle for Problems with Functional Constraints 2002 A. D. Ioffe
Roberto Lucchetti
J. P. Revalski
+ None 2002 A. D. Ioffe
T. Milosz
+ Convexity at Infinity and Palais-Smale Conditions. Application to Hamiltonian Systems 2002 A. D. Ioffe
Efim Schwartzman
+ Abstract convexity and non-smooth analysis 2001 A. D. Ioffe
+ None 2001 A. D. Ioffe
+ Towards Metric Theory of Metric Regularity 2001 A. D. Ioffe
+ Metric regularity and subdifferential calculus 2000 A. D. Ioffe
+ Variational Principles and Well-Posedness in Optimization and Calculus of Variations 2000 A. D. Ioffe
Alexander J. Zaslavski
+ Generic Existence, Uniqueness and Stability in Optimization Problems 2000 A. D. Ioffe
Roberto Lucchetti
+ Variational methods in local and global non-smooth analysis 1999 A. D. Ioffe
+ Critical points of convex perturbations of quadratic functionals 1999 A. D. Ioffe
Efim Schwartzman
+ ALBERTO BARBATI and CHRISTIAN HESS / The Largest Class of Closed Convex Valued Multifunctions for which Effros Measurability and Scalar Measurability Coincide 1999 A. Augustynowicz
Zdzisław Dzedzej
B. D. Gel’man
A. D. Ioffe
Andrei Verona
Maria Elena Verona
Regular Maximal
+ None 1998 A. D. Ioffe
+ DIRECTIONAL COMPACTNESS, SCALARIZATION AND NONSMOOTH SEMI-FREDHOLM MAPPINGS 1997 A. D. Ioffe
+ Some remarks on variational principles 1997 A. D. Ioffe
V. М. Tikhomirov
+ PDF Chat Euler-Lagrange and Hamiltonian formalisms in dynamic optimization 1997 A. D. Ioffe
+ PDF Chat An extension of the Rabinowitz bifurcation theorem to Lipschitz potential operators in Hilbert spaces 1997 A. D. Ioffe
Efim Schwartzman
+ PDF Chat Limiting subhessians, limiting subjets and their calculus 1997 A. D. Ioffe
Jean‐Paul Penot
+ Metric Critical Point Theory 2. Deformation Techniques 1997 A. D. Ioffe
Efim Schwartzman
+ Proximal analysis in smooth spaces 1996 Jonathan M. Borwein
A. D. Ioffe
+ The Euler and Weierstrass conditions for nonsmooth variational problems 1996 A. D. Ioffe
R. T. Rockafellar
+ Metric critical point theory: Potential Well Theorem and its applications 1995 A. D. Ioffe
Efim Schwartzman
+ PDF Chat Second-order Sufficiency and Quadratic Growth for Nonisolated Minima 1995 J. Frédéric Bonnans
A. D. Ioffe
+ On Sensitivity Analysis of Nonlinear Programs in Banach Spaces: The Approach via Composite Unconstrained Optimization 1994 A. D. Ioffe
+ Quadratic growth and stability in convex programming problems 1994 J. Frédéric Bonnans
A. D. Ioffe
+ A Lagrange multiplier rule with small convex-valued subdifferentials for nonsmooth problems of mathematical programming involving equality and nonfunctional constraints 1993 A. D. Ioffe
+ Expansion of exact and approximate solutions in nonlinear programming 1992 J. Frédéric Bonnans
A. D. Ioffe
Alexander Shapiro
+ Second Order Analysis in Semi-Infinite Programming 1992 A. D. Ioffe
+ Variational analysis of a composite function: A formula for the lower second order epi-derivative 1991 A. D. Ioffe
+ Proximal Analysis and Approximate Subdifferentials 1990 A. D. Ioffe
+ Composite optimization: Second order conditions, value functions and sensityvity 1990 A. D. Ioffe
+ Approximate subdifferentials and applications 3: the metric theory 1989 A. D. Ioffe
+ Global Surjection and Global Inverse Mapping Theorems in Banach Spaces 1987 A. D. Ioffe
+ PDF Chat Approximate subdifferentials and applications II 1986 A. D. Ioffe
+ On the Theory of Subdifferential 1986 A. D. Ioffe
+ On the Local Surjection Property in Banach Spaces 1985 A. D. Ioffe
+ Calculus of Dini subdifferentials of functions and contingent coderivatives of set-valued maps 1984 A. D. Ioffe
+ Necessary Conditions in Nonsmooth Optimization 1984 A. D. Ioffe
+ Single-Valued Representation of Set-Valued Mappings II; Application to Differential Inclusions 1983 A. D. Ioffe
+ Second Order Conditions in Nonlinear Nonsmooth Problems of Semi-Infinite Programming 1983 A. D. Ioffe
+ PDF Chat A New Proof of the Equivalence of the Hahn-Banach Extension and the Least Upper Bound Properties 1981 A. D. Ioffe
+ PDF Chat Nonsmooth analysis: differential calculus of nondifferentiable mappings 1981 A. D. Ioffe
+ PDF Chat A new proof of the equivalence of the Hahn-Banach extension and the least upper bound properties 1981 A. D. Ioffe
+ ON FOUNDATIONS OF CONVEX ANALYSIS 1980 A. D. Ioffe
+ PDF Chat Regular Points of Lipschitz Functions 1979 A. D. Ioffe
+ Necessary and Sufficient Conditions for a Local Minimum. 2: Conditions of Levitin–Miljutin–Osmolovskii Type 1979 A. D. Ioffe
+ Necessary and Sufficient Conditions for a Local Minimum. 1: A Reduction Theorem and First Order Conditions 1979 A. D. Ioffe
+ PDF Chat Single-valued representation of set-valued mappings 1979 A. D. Ioffe
+ PDF Chat Regular points of Lipschitz functions 1979 A. D. Ioffe
+ Survey of Measurable Selection Theorems: Russian Literature Supplement 1978 A. D. Ioffe
+ PDF Chat Representation theorems for multifunctions and analytic sets 1978 A. D. Ioffe
+ On Lower Semicontinuity of Integral Functionals. II 1977 A. D. Ioffe
+ On Lower Semicontinuity of Integral Functionals. I 1977 A. D. Ioffe
+ CONVEX FUNCTIONS OCCURRING IN VARIATIONAL PROBLEMS AND THE ABSOLUTE MINIMUM PROBLEM 1972 A. D. Ioffe
+ On minimization of integral functionals 1969 A. D. Ioffe
V. М. Tikhomirov
Common Coauthors
Commonly Cited References
Action Title Year Authors # of times referenced
+ Metric regularity and subdifferential calculus 2000 A. D. Ioffe
27
+ Optimization and Nonsmooth Analysis 1990 Frank H. Clarke
17
+ LYUSTERNIK'S THEOREM AND THE THEORY OF EXTREMA 1980 А. В. Дмитрук
A. A. Milyutin
Nikolai P. Osmolovskii
15
+ Variational Analysis 1998 R. T. Rockafellar
Roger J.‐B. Wets
14
+ Necessary and Sufficient Conditions for a Local Minimum. 1: A Reduction Theorem and First Order Conditions 1979 A. D. Ioffe
14
+ AN INTRODUCTION TO O-MINIMAL GEOMETRY 2002 Michel Coste
14
+ PDF Chat Nonsmooth analysis: differential calculus of nondifferentiable mappings 1981 A. D. Ioffe
13
+ PDF Chat Approximate subdifferentials and applications. I. The finite-dimensional theory 1984 A. D. Ioffe
13
+ On the local surjection property 1987 Александр Давидович Иоффе
12
+ Geometric categories and o-minimal structures 1996 Lou van den Dries
Chris Miller
11
+ AN INTRODUCTION TO SEMIALGEBRAIC GEOMETRY 2002 Michel Coste
10
+ PDF Chat Generalized gradients and applications 1975 Frank H. Clarke
10
+ An Invitation to Tame Optimization 2009 A. D. Ioffe
10
+ ON SUBDIFFERENTIABILITY SPACES 1983 Александр Давидович Иоффе
9
+ On the variational principle 1974 Ivar Ekeland
9
+ A New Approach to Lagrange Multipliers 1976 Frank H. Clarke
9
+ Proximal Analysis and Approximate Subdifferentials 1990 A. D. Ioffe
8
+ Metric regularity, openness and Lipschitzian behavior of multifunctions 1989 Jean‐Paul Penot
8
+ Calculus of Dini subdifferentials of functions and contingent coderivatives of set-valued maps 1984 A. D. Ioffe
8
+ None 1998 Qiji Jim Zhu
8
+ Stability Theory for Systems of Inequalities, Part II: Differentiable Nonlinear Systems 1976 Stephen M. Robinson
8
+ Maximum principle in the problem of time optimal response with nonsmooth constraints 1976 B.Sh. Mordukhovich
8
+ Regularity and Stability for Convex Multivalued Functions 1976 Stephen M. Robinson
8
+ Approximate subdifferentials and applications 3: the metric theory 1989 A. D. Ioffe
8
+ PDF Chat Prox-regular functions in variational analysis 1996 R. A. Poliquin
R. T. Rockafellar
8
+ PDF Chat Mountain pass theorems and global homeomorphism theorems 1994 Guy Katriel
8
+ PDF Chat Regular points of Lipschitz functions 1979 A. D. Ioffe
7
+ Implicit Functions and Solution Mappings 2014 Asen L. Dontchev
R. T. Rockafellar
7
+ Tame Topology and O-minimal Structures 1998 L. P. D. van den Dries
7
+ Smoothness and renormings in Banach spaces 1993 Robert Deville
Gilles Godefroy
Václav Zizler
7
+ PDF Chat Approximate subdifferentials and applications II 1986 A. D. Ioffe
7
+ Proximal analysis in smooth spaces 1996 Jonathan M. Borwein
A. D. Ioffe
7
+ The Generic Nature of Optimality Conditions in Nonlinear Programming 1979 Jonathan E. Spingarn
R. T. Rockafellar
7
+ PDF Chat Nonsmooth sequential analysis in Asplund spaces 1996 Boris S. Mordukhovich
Yongheng Shao
7
+ PDF Chat Nonconvex minimization problems 1979 Ivar Ekeland
7
+ PDF Chat A smooth variational principle with applications to subdifferentiability and to differentiability of convex functions 1987 Jonathan M. Borwein
David Preiss
7
+ Critical values of set-valued maps with stratifiable graphs. Extensions of Sard and Smale-Sard theorems 2008 A. D. Ioffe
6
+ On classes of subdifferentiability spaces of Ioffe 1988 Marián Fabian
6
+ Strongly Regular Generalized Equations 1980 Stephen M. Robinson
6
+ First-order rules for nonsmooth constrained optimization 2001 Marc Lassonde
6
+ PDF Chat On the theory of subdifferentials 2012 A. D. Ioffe
6
+ The radius of metric regularity 2002 Asen L. Dontchev
Adrian S. Lewis
R. T. Rockafellar
6
+ Verifiable necessary and sufficient conditions for openness and regularity of set-valued and single-valued maps 1988 Jonathan M. Borwein
Deming Zhuang
6
+ Necessary Conditions in Nonsmooth Optimization 1984 A. D. Ioffe
6
+ Perturbation Analysis of Optimization Problems 2000 J. Frédéric Bonnans
Alexander Shapiro
6
+ PDF Chat Clarke Subgradients of Stratifiable Functions 2007 Jérôme Bolte
Aris Daniilidis
Adrian S. Lewis
Masahiro Shiota
6
+ Some mapping theorems 1950 Lawrence M. Graves
6
+ Variational pairs and applications to stability in nonsmooth analysis 2002 D. Azé
Jean-Noël Corvellec
Roberto Lucchetti
5
+ Lagrange Multipliers and Optimality 1993 R. T. Rockafellar
5
+ Second Order Conditions in Nonlinear Nonsmooth Problems of Semi-Infinite Programming 1983 A. D. Ioffe
5