Second-Order Optimality Conditions for Set-Valued Vector Equilibrium Problems

被引：4

作者：

Wang, Q. L. ^{[1
]}

机构：

[1] Chongqing Jiaotong Univ, Coll Sci, Chongqing 400074, Peoples R China

来源：

NUMERICAL FUNCTIONAL ANALYSIS AND OPTIMIZATION | 2013年 / 34卷 / 01期

基金：

中国国家自然科学基金;

关键词：

Generalized second-order contingent (adjacent) epiderivatives; Henig efficient solutions; Set-valued vector equilibrium problems; Second-order optimality conditions; Weakly efficient solutions; 90C46; 91B50; EFFICIENT SOLUTIONS; SENSITIVITY-ANALYSIS; SOLUTION MAPPINGS; VARIATIONAL-INEQUALITIES; GENERALIZED SYSTEMS; HENIG EFFICIENCY; OPTIMIZATION; SEMICONTINUITY; SCALARIZATION; CONNECTEDNESS;

D O I：

10.1080/01630563.2012.693563

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this article, by using the generalized second-order contingent (adjacent) epiderivatives of set-valued maps, we obtain necessary optimality conditions and sufficient optimality conditions for weakly efficient solutions, Henig efficient solutions to the set-valued vector equilibrium problems with constraints. Some results of this article improve the corresponding results in literatures by lessening the assumption of convexity.

引用

页码：94 / 112

页数：19

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