The minimal criterion for the equivalence between local and global optimal solutions in nondifferentiable optimization problem

Manuel Arana‐Jiménez, Tadeusz Antczak

Type: Article

Publication Date: 2017-06-27

Citations: 13

DOI: https://doi.org/10.1002/mma.4474

View Publication

Locations

Mathematical Methods in the Applied Sciences - View

Similar Works

Action	Title	Year	Authors
+	Conditions for coincidence of local and global extrema in optimization problems	1976	T. T. Arkhipova И. В. Сергиенко
+	On a Local and Global Search Involved in Nonconvex Optimization Problems	2004	Alexander S. Strekalovsky T. V. Yakovleva
+ PDF Chat	On a class of nonconvex problems where all local minima are global	2004	Leo Liberti
+	Basic Concepts of Global Optimization	2000	Christodoulos A. Floudas
+	Necessary and sufficient condition for local minima of a class of nonconvex quadratic programs	1995	Jia‐Ming Cao
+	Absence of local minima for a special class of nonconvex optimization problems	1994	Alexey S. Matveev
+	A New Method for Developing Optimality Conditions in Global Optimization	2006	Bai Fu-sheng
+	A modified quasisecant method for global optimization	2017	Qiang Long Changzhi Wu Xiangyu Wang Zhiyou Wu
+	Existence of Global Minima for Constrained Optimization	2006	Asuman Ozdaglar P. Tseng
+ PDF Chat	Local–Global Minimum Property in Unconstrained Minimization Problems	2013	Pál Burai
+	Optimality Conditions for Constrained Minimax Optimization	2020	Yu-Hong Dai Liwei Zhang
+	Optimality Conditions for Constrained Minimax Optimization	2020	Yu-Hong Dai Liwei Zhang
+	Local minimizer of a nonconvex quadratic programming problem	1990	František Mráz
+	Usage of the local information in Lipschitz global optimization	2009	Yaroslav D. Sergeyev Dmitry Kvasov Vladimir Grishagin
+	Global minimum point of a convex function	1993	J.M. Soriano
+	A Novel Auxiliary Function Method for Unconstrained Global Optimization	2013	Liu Cheng-jun
+	A new technique for global optimization methods	2010	Zhiyou Wu Xianglu Pang
+	An optimality criterion for global quadratic optimization	1992	Arnold Neumaier
+	Note on a sufficient condition for a local minimum of a class of nonconvex quadratic programs	1998	Susana Scheimberg Patrícia Erthal de Moraes
+	Introduction to Global Optimization (Nonconvex Optimization and Its Applications)	2002	Reiner Horst

Works That Cite This (10)

Action	Title	Year	Authors
+ PDF Chat	On generating the set of nondominated solutions of a linear programming problem with parameterized fuzzy numbers	2019	Manuel Arana‐Jiménez M. Carmen Sánchez-Gil
+ PDF Chat	On a fully fuzzy framework for minimax mixed integer linear programming	2018	Manuel Arana‐Jiménez Víctor Blanco
+	On a global efficiency criterion in multiobjective variational control problems with path-independent curvilinear integral cost functionals	2020	Savin Treanţă
+ PDF Chat	On Locally and Globally Optimal Solutions in Scalar Variational Control Problems	2019	Savin Treanţă
+	A necessary and sufficient condition on the equivalence between local and global optimal solutions in variational control problems	2019	Savin Treanţă Manuel Arana‐Jiménez Tadeusz Antczak
+	On a minimal criterion of efficiency in vector variational control problems	2023	Savin Treanţă
+	Nondominated solutions in a fully fuzzy linear programming problem	2018	Manuel Arana‐Jiménez
+	Fuzzy Pareto Solutions in Fully Fuzzy Multiobjective Linear Programming	2019	Manuel Arana‐Jiménez
+	Efficiency for variational control problems on Riemann manifolds with geodesic quasiinvex curvilinear integral functionals	2020	Savin Treanţă Ştefan Mititelu
+	Duality with (<i>ρ</i>, b) – quasiinvexity for multidimensional vector fractional control problems	2019	Savin Treanţă Ştefan Mititelu

Works Cited by This (14)

Action	Title	Year	Authors
+	Convex analysis and nonlinear optimization : theory and examples	2000	Jonathan M. Borwein Adrian S. Lewis
+	Convex Analysis and Optimization	2003	Dimitri P. Bertsekas Angelia Nedić Asuman Ozdaglar
+ PDF Chat	What is invexity?	1986	Adi Ben-Israel B. Mond
+	On invexity-type nonlinear programming problems	1994	Z. K. Xu
+	On functions whose local minima are global	1975	Israël Zang Mordecai Avriel
+	On Invex Sets and Preinvex Functions	1995	S. R. Mohan Sarmistha Neogy
+	Second-order Kuhn-Tucker invex constrained problems	2010	Vsevolod I. Ivanov
+	On the optimality of some classes of invex problems	2010	Vsevolod I. Ivanov
+	The essence of invexity	1985	D. H. Martin
+	A note on functions whose local minima are global	1976	Israël Zang Eng Ung Choo Mordecai Avriel