Lower Semicontinuity of the Solution Map to a Parametric Generalized Variational Inequality in Reflexive Banach Spaces

被引：0

作者：

B. T. Kien

机构：

[1] Hanoi University of Civil Engineering,Department of Information and Technology

来源：

Set-Valued Analysis | 2008年 / 16卷

关键词：

Parametric generalized variational inequality; Generalized equation; Lower semicontinuity; Pseudo-monotonicity; 47J20; 49J40; 49J53; 90C33;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

This paper is concerned with the study of solution stability of a parametric generalized variational inequality in reflexive Banach spaces. Under the requirements that the operator of a unperturbed problem is of class (S) + and operators under consideration are pseudo-monotone and demicontinuous, we show that the solution map of a parametric generalized variational inequality is lower semicontinuous. The obtained results are proved without conditions related to the degree theory and the metric projection.

引用

页码：1089 / 1105

页数：16

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