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

被引：0
|
作者：
Z. M. Fang
S. J. Li
K. L. Teo
机构：
[1] Chongqing University,College of Mathematics and Science
[2] Curtin University of Technology,Department of Mathematics and Statistics
来源：
Journal of Inequalities and Applications | / 2008卷
关键词：
Variational Inequality; Vector Variational Inequality; Vector Equilibrium Problem; Generalize Variational Inequality; Vector Variational Inequality Problem;
D O I：
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学科分类号：
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.
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