Existence and stability of solutions to inverse variational inequality problems

被引：0
|
作者：
Yu Han
Nanjing Huang
Jue Lu
Yibin Xiao
机构：
[1] Sichuan University,Department of Mathematics
[2] University of Electronic Science and Technology of China,School of Mathematical Sciences
来源：
Applied Mathematics and Mechanics | 2017年 / 38卷
关键词：
inverse variational inequality; Fan-Knaster-Kuratowski-Mazurkiewicz (KKM) theorem; Kakutani-Fan-Glicksberg fixed point theorem; upper semicontinuity; lower semicontinuity; O224; O177; 49J40; 47J20;
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中图分类号：
学科分类号：
摘要：
In this paper, two new existence theorems of solutions to inverse variational and quasi-variational inequality problems are proved using the Fan-Knaster-Kuratowski-Mazurkiewicz (KKM) theorem and the Kakutani-Fan-Glicksberg fixed point theorem. Upper semicontinuity and lower semicontinuity of the solution mapping and the approximate solution mapping to the parametric inverse variational inequality problem are also discussed under some suitable conditions. An application to a road pricing problem is given.
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页码：749 / 764
页数：15
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