Painleve-Kuratowski Convergences for the Solution Sets of Set-Valued Weak Vector Variational Inequalities

被引：12
|
作者：
Fang, Z. M. [1 ]
Li, S. J. [1 ]
Teo, K. L. [2 ]
机构：
[1] Chongqing Univ, Coll Math & Sci, Chongqing 400044, Peoples R China
[2] Curtin Univ Technol, Dept Math & Stat, Perth, WA 6845, Australia
来源：
JOURNAL OF INEQUALITIES AND APPLICATIONS | 2008年 / 2008卷 / 1期
基金：
中国国家自然科学基金;
关键词：
D O I：
10.1155/2008/435719
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
Painleve-Kuratowski convergence of the solution sets is investigated for the perturbed set-valued weak vector variational inequalities with a sequence of mappings converging continuously. The closedness and Painleve-Kuratowski upper convergence of the solution sets are obtained. We also obtain Painleve-Kuratowski upper convergence when the sequence of mappings converges graphically. By virtue of a sequence of gap functions and a key assumption, Painleve-Kuratowski lower convergence of the solution sets is established. Some examples are given for the illustration of our results.
引用
收藏
页数：14
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