Stability of weak vector variational inequality

被引：52

作者：

Li, S. J. ^{[1
]}

Chen, C. R. ^{[1
]}

机构：

[1] Chongqing Univ, Coll Math & Sci, Chongqing 400044, Peoples R China

来源：

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS | 2009年 / 70卷 / 04期

基金：

中国国家自然科学基金;

关键词：

Hausdorff lower semicontinuity; Continuity; Hausdorff continuity; Parametric gap function; Weak vector variational inequality; LOWER SEMICONTINUITY; GAP FUNCTIONS; SOLUTION SET; EXISTENCE; MAPPINGS;

D O I：

10.1016/j.na.2008.02.032

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, a key assumption is introduced by virtue of a parametric gap function. Then, by using the key assumption, sufficient conditions of the continuity and Hausdorff continuity of a solution set map for a parametric weak vector variational inequality are obtained in Banach spaces with the objective space being finite-dimensional. (C) 2008 Elsevier Ltd. All rights reserved.

引用

页码：1528 / 1535

页数：8

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