Existence and Connectedness of Solutions for Generalized Vector Quasi-Equilibrium Problems

被引：21

作者：

Han, Yu ^{[1
]}

Huang, Nan-Jing ^{[1
]}

机构：

[1] Sichuan Univ, Dept Math, Chengdu 610064, Sichuan, Peoples R China

来源：

JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS | 2018年 / 179卷 / 01期

基金：

中国国家自然科学基金;

关键词：

Generalized vector quasi-equilibrium problem; Fan-KKM theorem; Connectedness; Path connectedness; SET-VALUED MAPS; VARIATIONAL INEQUALITY; OPTIMIZATION PROBLEMS; EFFICIENT SOLUTIONS; POINT SETS; SPACES; SYSTEMS;

D O I：

10.1007/s10957-016-1032-9

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, we establish three existence theorems for strongly efficient solutions, weakly efficient solutions and efficient solutions of generalized vector quasi-equilibrium problems by using the Fan-KKM theorem and the scalarization method. Moreover, we investigate the connectedness of the sets of weakly efficient solutions and efficient solutions for generalized vector quasi-equilibrium problems and make a new attempt to establish the path connectedness of the set of weakly efficient solutions for generalized vector quasi-equilibrium problems.

引用

页码：65 / 85

页数：21

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