Optimality conditions for vector equilibrium problems with constraint in Banach spaces

被引：14

作者：

Feng, Yanyan ^{[1
]}

Qiu, Qiusheng ^{[1
]}

机构：

[1] Zhejiang Normal Univ, Dept Math, Jinhua 321004, Zhejiang, Peoples R China

来源：

OPTIMIZATION LETTERS | 2014年 / 8卷 / 06期

关键词：

Vector optimization; Vector equilibrium problem; Weakly efficient solution; Approximate subdifferential; Optimality condition; VARIATIONAL-INEQUALITIES; SENSITIVITY-ANALYSIS; GENERALIZED SYSTEMS; EFFICIENT SOLUTIONS; SCALARIZATION; OPTIMIZATION; SET;

D O I：

10.1007/s11590-013-0695-5

中图分类号：

C93 [管理学]; O22 [运筹学];

学科分类号：

070105 ; 12 ; 1201 ; 1202 ; 120202 ;

摘要：

In this paper, vector equilibrium problems with constraint in Banach spaces are investigated. Kuhn-Tucker-like conditions for weakly efficient solutions are given by using the Gerstewitz's function and nonsmooth analysis. Moreover, the sufficient conditions of weakly efficient solutions are established under the assumption of generalized invexity. As applications, necessary conditions of weakly efficient solutions for vector variational inequalities with constraint and vector optimization problems with constraint are obtained.

引用

页码：1931 / 1944

页数：14

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