Necessary optimality conditions for set-valued optimization problems via the extremal principle

被引：0

作者：

Nazih Gadhi

Lahoussine Lafhim

机构：

[1] Sidi Mohamed Ben Abdellah University,Dhar El Mehrez, Department of Mathematics

[2] Université Mohamed Cinq,Département de Mathématiques, Faculté des sciences

来源：

Positivity | 2009年 / 13卷

关键词：

Asplund space; Extremal principle; Fréchet normal cone; Mordukhovich normal cone; Set-valued mapping; Primary 90C29; Secondary 49K99;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

The paper concerns first-order necessary optimality conditions for set-valued optimization problems. Based on the extremal principle developed by Mordukhovich [21], we derive fuzzy/approximate necessary optimality conditions. An example that illustrates the usefulness of our results is given.

引用

页码：657 / 669

页数：12

共 50 条

[1] Necessary optimality conditions for set-valued optimization problems via the extremal principle
Gadhi, Nazih
Lafhim, Lahoussine
[J]. POSITIVITY, 2009, 13 (04) : 657 - 669
[2] Necessary and sufficient optimality conditions for set-valued optimization problems
Benkenza, Najia
Gadhi, Nazih
Lafhim, Lahoussine
[J]. GEORGIAN MATHEMATICAL JOURNAL, 2011, 18 (01) : 53 - 66
[3] Optimality Conditions for Set-Valued Optimization Problems
Zeng, Renying
[J]. INTERNATIONAL JOURNAL OF ANALYSIS AND APPLICATIONS, 2023, 21
[4] Optimality conditions for set-valued optimization problems
Guang Ya Chen
Johannes Jahn
[J]. Mathematical Methods of Operations Research, 1998, 48 : 187 - 200
[5] Optimality conditions for set-valued optimization problems
Chen, GY
Jahn, J
[J]. MATHEMATICAL METHODS OF OPERATIONS RESEARCH, 1998, 48 (02) : 187 - 200
[6] ON ε-OPTIMALITY CONDITIONS FOR CONVEX SET-VALUED OPTIMIZATION PROBLEMS
Lee, Gue Myung
Le Anh Tuan
[J]. TAIWANESE JOURNAL OF MATHEMATICS, 2009, 13 (6A): : 1787 - 1810
[7] Necessary optimality conditions for optimal control problems with set-valued constraints
Li, An
[J]. 2014 11TH WORLD CONGRESS ON INTELLIGENT CONTROL AND AUTOMATION (WCICA), 2014, : 1261 - 1266
[8] Necessary optimality conditions for weak sharp minima in set-valued optimization
Durea, M.
Strugariu, R.
[J]. NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2010, 73 (07) : 2148 - 2157
[9] Necessary optimality conditions of a DC set-valued bilevel optimization problem
Dempe, S.
Gadhi, N.
[J]. OPTIMIZATION, 2008, 57 (06) : 777 - 793
[10] ε-Optimality Conditions for Vector Optimization Problems with Set-Valued Maps
Le Anh Tuan
[J]. NUMERICAL FUNCTIONAL ANALYSIS AND OPTIMIZATION, 2010, 31 (01) : 78 - 95

← 1 2 3 4 5 →