Gap functions and existence of solutions for a system of vector equilibrium problems

被引：36

作者：

Huang, N. J.

Li, J.

Yao, J. C. ^{[1
]}

机构：

[1] Natl Sun Yat Sen Univ, Dept Appl Math, Kaohsiung 80424, Taiwan

[2] Sichuan Univ, Dept Math, Chengsu, Sichuan, Peoples R China

[3] China W Normal Univ, Dept Math, Sichuan, Peoples R China

来源：

JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS | 2007年 / 133卷 / 02期

基金：

中国国家自然科学基金;

关键词：

systems of vector equilibrium problems; Gap functions; convex cones; point-to-set mappings;

D O I：

10.1007/s10957-007-9202-4

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, a gap function for a system of vector equilibrium problems is introduced and studied. Some necessary and sufficient conditions for the system of vector equilibrium problems are established. Characterizations of the solutions set for the system of vector equilibrium problems are also derived. Furthermore, some existence results of solutions for the system of vector equilibrium problems are proved.

引用

页码：201 / 212

页数：12

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