Solvability of variational inequality problems

被引：33

作者：

Han, J ^{[1
]}

Huang, ZH

Fang, SC

机构：

[1] Chinese Acad Sci, Acad Math & Syst Sci, Inst Appl Math, Beijing, Peoples R China

[2] Tianjin Univ, Dept Math, Tianjin 300072, Peoples R China

[3] N Carolina State Univ, Raleigh, NC 27695 USA

来源：

JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS | 2004年 / 122卷 / 03期

基金：

中国国家自然科学基金;

关键词：

variational inequalities; complementarity problems; exceptional family of elements; existence theorems;

D O I：

10.1023/B:JOTA.0000042593.74934.b7

中图分类号：

C93 [管理学]; O22 [运筹学];

学科分类号：

070105 ; 12 ; 1201 ; 1202 ; 120202 ;

摘要：

This paper presents the new concept of exceptional family of elements for the variational inequality problem with a continuous function over a general unbounded closed convex set. We establish a characterization theorem that can be used to derive several new existence and compactness conditions on the solution set. Our findings generalize well-known results for various types of variational inequality problems. For a pseudomonotone variational inequality problem, our new existence conditions are both sufficient and necessary.

引用

页码：501 / 520

页数：20

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