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

被引：0
作者：
Yu Han
Nan-jing Huang
机构：
[1] Sichuan University,Department of Mathematics
来源：
Journal of Optimization Theory and Applications | 2018年 / 179卷
关键词：
Generalized vector quasi-equilibrium problem; Fan-KKM theorem; Connectedness; Path connectedness; 49J40; 65K10; 90C30;
D O I：
暂无
中图分类号：
学科分类号：
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.
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页码：65 / 85
页数：20
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