Optimality Conditions for Vector Equilibrium Problems in Terms of Contingent Epiderivatives

被引：13

作者：

Tran Van Su ^{[1
]}

机构：

[1] Quangnam Univ, Dept Math, 102 Hung Vuong, Tamky, Vietnam

来源：

NUMERICAL FUNCTIONAL ANALYSIS AND OPTIMIZATION | 2016年 / 37卷 / 05期

关键词：

contingent epiderivative; efficient solutions; optimality condition; stable functions; tangent cone; vector equilibrium problems; OPTIMIZATION;

D O I：

10.1080/01630563.2016.1155158

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this article, we study some important properties of contingent epiderivatives concerning steady functions and a cone with a compact base along with its applications to establish necessary and sufficient optimality conditions for weakly efficient, Henige efficient, globally efficient and superefficient solutions for no con straints and constraints ( it concludes cone constraint, equality constraint and a constraint set) vector equilibrium problems in terms of contingent epiderivatives. We also give some examples to illustrate obtained results.

引用

页码：640 / 665

页数：26

共 50 条

[41] Higher-Order Weakly Generalized Epiderivatives and Applications to Optimality Conditions [J].

Wang, Qilin ;

Yu, Guolin .

JOURNAL OF APPLIED MATHEMATICS, 2012,

[42] SECOND-ORDER WEAK COMPOSED EPIDERIVATIVES AND APPLICATIONS TO OPTIMALITY CONDITIONS [J].

Wang, Qilin ;

Li, Xiaobing ;

Yu, Guolin .

JOURNAL OF INDUSTRIAL AND MANAGEMENT OPTIMIZATION, 2013, 9 (02) :455-470

[43] Necessary Optimality Conditions for Second-Order Local Strict Efficiency for Constrained Nonsmooth Vector Equilibrium Problems [J].

Van Su, Tran ;

Hang, Dinh Dieu .

ACTA MATHEMATICA VIETNAMICA, 2023, 48 (02) :321-341

[44] Optimality Conditions for Nondifferentiable Minimax Programs and Vector Optimization Problems [J].

Duong Thi Kim Huyen ;

Do Sang Kim ;

Nguyen Dong Yen .

Journal of Optimization Theory and Applications, 2024, 200 :703-723

[45] Optimality conditions for weak ψ-sharp minima in vector optimization problems [J].

Peng, Z. Y. ;

Xu, S. ;

Long, X. J. .

POSITIVITY, 2013, 17 (03) :475-482

[46] Optimality Conditions for Vector Optimization Problems with Difference of Convex Maps [J].

X. L. Guo ;

S. J. Li .

Journal of Optimization Theory and Applications, 2014, 162 :821-844

[47] Refinements on Gap Functions and Optimality Conditions for Vector Quasi-Equilibrium Problems via Image Space Analysis [J].

Li, Jun ;

Mastroeni, Giandomenico .

JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS, 2018, 177 (03) :696-716

[48] Optimality Conditions for Nondifferentiable Minimax Programs and Vector Optimization Problems [J].

Huyen, Duong Thi Kim ;

Kim, Do Sang ;

Yen, Nguyen Dong .

JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS, 2024, 200 (02) :703-723

[49] Optimality Conditions for Nondifferentiable Vector Optimization Problems under Invexity [J].

Sun, Hai ;

Lin, Ling .

ADVANCES IN INFORMATION TECHNOLOGY AND EDUCATION, PT I, 2011, 201 :1-+

[50] Optimality Conditions for Vector Optimization Problems with Difference of Convex Maps [J].

Guo, X. L. ;

Li, S. J. .

JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS, 2014, 162 (03) :821-844

← 1 2 3 4 5 →