Exceptional family and solution existence of variational inequality problems with set-valued mappings

被引：0
|
作者：
Zhu, Wenxin [2 ]
Fan, Liya [1 ]
机构：
[1] Liaocheng Univ, Sch Math Sci, Liaocheng 252059, Shandong, Peoples R China
[2] Tianjin Agr Univ, Dept Basic Sci, Tianjin 300384, Peoples R China
来源：
APPLIED MATHEMATICS LETTERS | 2009年 / 22卷 / 02期
关键词：
Variational inequality with a set-valued mapping; Topological degree; Alternative theorem; Exceptional families of elements; Solution existence; COMPLEMENTARITY-PROBLEMS; ELEMENTS; SOLVABILITY;
D O I：
10.1016/j.aml.2008.03.012
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we introduce a new exceptional family for a variational inequality with a set-valued mapping over a general unbounded closed convex set in a Hilbert space. By means of the exceptional family and topological degree theory of set-valued mappings an alternative, theorem and some solution existence theorems are obtained. (C) 2008 Elsevier Ltd. All rights reserved.
引用
收藏
页码：211 / 216
页数：6
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