Vector equilibrium problems. Existence theorems and convexity of solution set

被引：30

作者：

Fu, JY ^{[1
]}

机构：

[1] Nanchang Univ, Dept Math, Nanchang 330047, Peoples R China

来源：

JOURNAL OF GLOBAL OPTIMIZATION | 2005年 / 31卷 / 01期

关键词：

convexity; monotonicity; vector equilibrium problem; set-valued mapping;

D O I：

10.1007/s10898-004-4274-2

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：

The natural quasi-concavity of set-valued mappings in an ordered vector space is introduced. Existence theorems for vector equilibrium problems involving set-valued monotone mappings are obtained and the convexity of the solution set is shown.

引用

页码：109 / 119

页数：11