Stability analysis for variational inequality in reflexive Banach spaces

被引：21

作者：

Fan Jianghua ^{[1
]}

Zhong Renyou ^{[1
]}

机构：

[1] Guangxi Normal Univ, Guilin 541004, Guangxi, Peoples R China

来源：

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS | 2008年 / 69卷 / 08期

关键词：

Variational inequality; Stability; Barrier cone; Properly quasimonotone operator; Pseudomonotone operator;

D O I：

10.1016/j.na.2007.08.031

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper is devoted to the stability analysis in variational inequality. We obtain some stability results for variational inequality with both the mapping and the set that are perturbed in reflexive Banach spaces, provided that the mappings are pseudomonotone in the sense of Karamardian. The stability is also discussed for the Minty variational inequality as the mappings are properly quasimonotone. The results in this Paper generalized some known results in this area. (C) 2007 Elsevier Ltd. All rights reserved.

引用

页码：2566 / 2574

页数：9

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