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.

引用

页码：1249 / 1259

页数：11

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