PAINLEVE-KURATOWSKI STABILITY OF THE APPROXIMATE SOLUTION SETS FOR SET-VALUED VECTOR EQUILIBRIUM PROBLEMS

被引：0
|
作者：
Peng, Zai Yun [1 ]
Zhao, Yong [1 ]
Yang, Xin Min [2 ]
机构：
[1] Chongqing JiaoTong Univ, Coll Math & Stat, Chongqing 400074, Peoples R China
[2] Chongqing Normal Univ, Dept Math, Chongqing 400074, Peoples R China
来源：
JOURNAL OF NONLINEAR AND CONVEX ANALYSIS | 2019年 / 20卷 / 04期
基金：
中国国家自然科学基金;
关键词：
Stability; Painleve-Kuratowski convergence; Scalarization; approximate solution; Set-valued vector equilibrium problem; Gamma(c)-convergence; FAN INEQUALITY PROBLEMS; OPTIMIZATION; SEMICONTINUITY; CONVERGENCES; CONTINUITY; EXISTENCE;
D O I：
暂无
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
The aim of this paper is to study the stability aspects of approximate solution sets of perturbed vector equilibrium problems in Hausdorff topological vector spaces. Using a scalarization method, we establish a sufficient condition for Painleve-Kuratowski convergence of &approximate solutions set to set-valued vector equilibrium problems, where the sequence of mappings converge in the sense of Gamma(c). These results extend and improve some results in the literature. Some examples are given to illustrate the results.
引用
收藏
页码：647 / 660
页数：14
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