Connectedness of the Solution Sets and Scalarization for Vector Equilibrium Problems

被引：0
作者：
X. H. Gong
机构：
[1] Nanchang University,Department of Mathematics
来源：
Journal of Optimization Theory and Applications | 2007年 / 133卷
关键词：
Vector equilibrium problems; Globally efficient solutions; Cone-Benson efficient solutions; Scalarization; Path connectedness;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
In this paper, we introduce the concepts of globally efficient solution and cone-Benson efficient solution for a vector equilibrium problem; we give some scalarization results for Henig efficient solution sets, globally efficient solution sets, weak efficient solution sets, and cone-Benson efficient solution sets in locally convex spaces. Using the scalarization results, we show the connectedness and path connectedness of weak efficient solution sets and various proper efficient solution sets of vector equilibrium problem.
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页码：151 / 161
页数：10
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