Pseudomonotone general mixed variational inequalities

被引：23

作者：

Noor, MA ^{[1
]}

机构：

[1] Etisalat Coll Engn, Sharjah, U Arab Emirates

来源：

APPLIED MATHEMATICS AND COMPUTATION | 2003年 / 141卷 / 2-3期

关键词：

variational inequalities; resolvent equations; auxiliary principle; iterative methods; convergence; fixed points;

D O I：

10.1016/S0096-3003(02)00273-4

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we use the resolvent equations and the auxiliary principle techniques to suggest a class of iterative resolvent methods for solving general mixed variational inequalities. The convergence of the proposed methods only requires the pseudomonotonicity of the operator, which is weaker than monotonicity. As special cases, we obtain various known and new results for solving various classes of variational inequalities and related problems. (C) 2002 Elsevier Science Inc. All rights reserved.

引用

页码：529 / 540

页数：12

共 22 条

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Baiocchi C., 1984, VARIATIONAL QUASI VA

[2] Pseudomonotone variational inequalities: Convergence of proximal methods [J].