PAINLEVE-KURATOWSKI CONVERGENCES OF THE SOLUTION SETS FOR PERTURBED GENERALIZED SYSTEMS

被引：0
|
作者：
Zhao, Yong [1 ]
Peng, Zai Yun [2 ]
Yang, Xin Min [3 ]
机构：
[1] Sichuan Univ, Dept Math, Chengdu 610064, Peoples R China
[2] Chongqing JiaoTong Univ, Coll Sci, Chongqing 400074, Peoples R China
[3] Chongqing Normal Univ, Dept Math, Chongqing 400047, Peoples R China
来源：
JOURNAL OF NONLINEAR AND CONVEX ANALYSIS | 2014年 / 15卷 / 06期
关键词：
Painleve-Kuratowski convergence; weak efficient solution sets; global efficient solution sets; perturbed generalized systems; VECTOR EQUILIBRIUM PROBLEMS; FAN INEQUALITY PROBLEMS; VARIATIONAL INEQUALITY; EFFICIENT SOLUTIONS; STABILITY; SEMICONTINUITY; CONTINUITY; CONNECTEDNESS; TRIFUNCTIONS; OPTIMIZATION;
D O I：
暂无
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, under new assumptions, which are weaker than the assumption of C-strictly monotone mapping, we obtain the Painleve-Kuratowski convergence of the weak efficient solution sets and global efficient solution sets for the perturbed generalized system with a sequence of mappings converging in a real locally convex Hausdorff topological vector space. These results extend and improve the recent ones in the literature [10]. Several examples are given for the illustration of our results.
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页码：1249 / 1259
页数：11
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