Parametric well-posedness for variational inequalities defined by bifunctions

被引：67

作者：

Fang, Ya-Ping ^{[1
]}

Hu, Rong

机构：

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

[2] Chengdu Univ Informat Technol, Dept Computat Sci, Chengdu, Sichuan, Peoples R China

来源：

COMPUTERS & MATHEMATICS WITH APPLICATIONS | 2007年 / 53卷 / 08期

基金：

中国国家自然科学基金;

关键词：

variational inequalities; Minty variational inequalities; parametric well-posedness; metric characterizations; bifunctions; OPTIMIZATION;

D O I：

10.1016/j.camwa.2006.09.009

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper we introduce the concepts of parametric well-posedness for Stampacchia and Minty variational inequalities defined by bifunctions. We establish some metric characterizations of parametric well-posedness. Under suitable conditions, we prove that the parametric well-posedness is equivalent to the existence and uniqueness of solutions to these variational inequalities. (c) 2007 Elsevier Ltd. All rights reserved.

引用

页码：1306 / 1316

页数：11

共 23 条

[1]

[Anonymous], 1984, Theory of Correspondences

[2]

[Anonymous], 1993, Lecture Notes Mathematics

[3]

[Anonymous], 1968, Topology II

[4]

[Anonymous], 1968, TOPOLOGY

[5]

[Anonymous], 2002, A COM MAN S

[6]

[Anonymous], J INEQUAL PURE APPL

[7]

Bednarczuk E., 1994, Control and Cybernetics, V23, P107

[8] METRICALLY WELL-SET MINIMIZATION PROBLEMS [J].

BEDNARCZUK, E ;

PENOT, JP .

APPLIED MATHEMATICS AND OPTIMIZATION, 1992, 26 (03) :273-285

[9] Existence of solutions and star-shapedness in Minty Variational Inequalities [J].

Crespi, GP ;

Ginchev, I ;

Rocca, M .

JOURNAL OF GLOBAL OPTIMIZATION, 2005, 32 (04) :485-494

[10] Minty variational inequalities, increase-along-rays property and optimization [J].

Crespi, GP ;

Ginchev, I ;

Rocca, M .

JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS, 2004, 123 (03) :479-496

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