Strong vector variational inequalities in Banach spaces

被引：39

作者：

Fang, YP ^{[1
]}

Huang, NJ ^{[1
]}

机构：

[1] Sichuan Univ, Dept Math, Chengdu 610064, Sichuan, Peoples R China

来源：

APPLIED MATHEMATICS LETTERS | 2006年 / 19卷 / 04期

基金：

中国国家自然科学基金;

关键词：

strong vector variational inequality; Brouwer's fixed point theorem; weak coercivity; pseudomonotone mapping; solvability;

D O I：

10.1016/j.aml.2005.06.008

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this work, we study some existence results for solutions for a class of strong vector variational inequalities (for short, SVVI) in Banach spaces. The solvability of the SVVI without monotonicity is presented by using the fixed point theorems of Brouwer and Browder, respectively. The solvability of the SVVI with monotonicity is also proved by using the Ky Fan lemma. Our results give a positive answer to an open problem proposed by Chen and Hou. (C) 2005 Elsevier Ltd. All rights reserved.

引用

页码：362 / 368

页数：7

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