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
收藏
页码：1824 / 1829
页数：6
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