A generalized vector variational inequality problem with a set-valued semi-monotone mapping

被引：5

作者：

Fang, Zheng ^{[1
]}

机构：

[1] Jiangnan Univ, Sch Sci, Wuxi 214122, Peoples R China

来源：

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS | 2008年 / 69卷 / 5-6期

关键词：

set-valued mapping; semi-monotone mapping; generalized vector variational inequality; Kakutani-Fan-Glicksberg fixed point theorem;

D O I：

10.1016/j.na.2007.07.025

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we first generalize the concept of semi-monotonicity for a scalar single-valued mapping to the case of a vector set-valued mapping. Then we consider a generalized vector variational inequality problem concerning the vector set-valued semi-monotone mapping; several existence results are obtained by using the Kakutani-Fan-Glicksberg fixed point theorem which generalize some results for vector variational inequality problems studied in recent years. (C) 2007 Elsevier Ltd. All rights reserved.

引用

页码：1824 / 1829

页数：6

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