UNIFIED OPTIMALITY CONDITIONS FOR SET-VALUED OPTIMIZATIONS

被引：1

作者：

Li, Geng-Hua ^{[1
]}

Li, Sheng-Jie ^{[1
]}

机构：

[1] Chongqing Univ, Coll Math & Stat, Chongqing 401331, Peoples R China

来源：

JOURNAL OF INDUSTRIAL AND MANAGEMENT OPTIMIZATION | 2019年 / 15卷 / 03期

基金：

中国国家自然科学基金;

关键词：

Set-valued optimization problem; optimality condition; image space analysis; tangent cone; generalized derivative; CONTINGENT EPIDERIVATIVES; DUALITY-THEORY;

D O I：

10.3934/jimo.2018087

中图分类号：

T [工业技术];

学科分类号：

08 ;

摘要：

This paper is devoted to the study of unified optimality conditions for constrained set-valued optimization problems via image space analysis. Necessary and sufficient optimality conditions are given in terms of tangent cones of extended image set. By exploiting such results, we analyse the optimality conditions employing different generalized derivatives.

引用

页码：1101 / 1116

页数：16

共 50 条

[21] Subdifferential and optimality conditions for the difference of set-valued mappings
X. L. Guo
S. J. Li
K. L. Teo
Positivity, 2012, 16 : 321 - 337
[22] Optimality conditions for vector optimisation with set-valued maps
Huang, YW
BULLETIN OF THE AUSTRALIAN MATHEMATICAL SOCIETY, 2002, 66 (02) : 317 - 330
[23] Optimality conditions for set-valued minimax fractional programming problems
Das K.
Nahak C.
SeMA Journal, 2020, 77 (2) : 161 - 179
[24] Necessary and sufficient optimality conditions for set-valued optimization problems
Benkenza, Najia
Gadhi, Nazih
Lafhim, Lahoussine
GEORGIAN MATHEMATICAL JOURNAL, 2011, 18 (01) : 53 - 66
[25] Optimality Conditions for Strictly Efficient Solutions in Set-valued Optimization
Yi-hong Xu
Acta Mathematicae Applicatae Sinica, English Series, 2020, 36 : 891 - 901
[26] Optimality Conditions for Strictly Efficient Solutions in Set-valued Optimization
Xu, Yi-hong
ACTA MATHEMATICAE APPLICATAE SINICA-ENGLISH SERIES, 2020, 36 (04): : 891 - 901
[27] Optimality conditions for weak and firm efficiency in set-valued optimization
Durea, M.
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2008, 344 (02) : 1018 - 1028
[28] New Set-Valued Directional Derivatives: Calculus and Optimality Conditions
Tung, Nguyen Minh
Bao, Nguyen Xuan Duy
JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS, 2023, 197 (02) : 411 - 437
[29] Optimality Conditions for Strictly Efficient Solutions in Set-valued Optimization
Yi-hong XU
Acta Mathematicae Applicatae Sinica, 2020, 36 (04) : 891 - 901
[30] Optimality conditions in non-convex set-valued optimization
Flores-Bazán, F
MATHEMATICAL METHODS OF OPERATIONS RESEARCH, 2001, 53 (03) : 403 - 417

← 1 2 3 4 5 →