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.
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页码：109 / 119
页数：11
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