Semicontinuity of Approximate Solution Mappings to Parametric Set-Valued Weak Vector Equilibrium Problems

被引：31
|
作者：
Peng, Z. Y. [1 ]
Zhao, Y. [2 ]
Yang, X. M. [3 ]
机构：
[1] Chongqing JiaoTong Univ, Coll Sci, Chongqing, Peoples R China
[2] Sichuan Univ, Dept Math, Chengdu 610064, Sichuan, Peoples R China
[3] Chongqing Normal Univ, Dept Math, Chongqing 400047, Peoples R China
来源：
NUMERICAL FUNCTIONAL ANALYSIS AND OPTIMIZATION | 2015年 / 36卷 / 04期
关键词：
90C29; 49K40; 90C31; Berge continuity; Scalarization; Hausdorff continuity; Parametric set-valued weak vector equilibrium problem; KY FAN INEQUALITY; GENERALIZED SYSTEMS; CONTINUITY; STABILITY; EXISTENCE; TRIFUNCTIONS; OPTIMIZATION;
D O I：
10.1080/01630563.2015.1013551
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this article, we obtain some stability results for parametric weak vector equilibrium problem with set-valued mappings. By using a scalarization method, we establish sufficient conditions for the semicontinuity of the approximate solution mappings to parametric set-valued weak vector equilibrium problem under weak assumptions. These results extend and improve some known results in the literature.
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页码：481 / 500
页数：20
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