Levitin–Polyak well-posedness by perturbations for the split inverse variational inequality problem

被引：0
|
作者：
Rong Hu
Ya-Ping Fang
机构：
[1] Chengdu University of Information Technology,Department of Applied Mathematics
[2] Sichuan University,Department of Mathematics
来源：
Journal of Fixed Point Theory and Applications | 2016年 / 18卷
关键词：
Primary 49K40; Secondary 49J40; 90C31; Split inverse variational inequality problem; Levitin–Polyak well-posedness by perturbations; metric characterization; existence and uniqueness of solution;
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学科分类号：
摘要：
In this paper, we extend the notion of Levitin–Polyak wellposedness by perturbations to the split inverse variational inequality problem. We derive metric characterizations of Levitin–Polyak wellposedness by perturbations. Under mild conditions, we prove that the Levitin–Polyak well-posedness by perturbations of the split inverse variational inequality problem is equivalent to the existence and uniqueness of its solution.
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页码：785 / 800
页数：15
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