Projection methods for monotone variational inequalities

被引：10

作者：

Noor, MA ^{[1
]}

Rassias, TM

机构：

[1] Dalhousie Univ, Dept Math & Stat, Halifax, NS B3H 3J5, Canada

[2] Natl Tech Univ Athens, Dept Math, Athens 15780, Greece

来源：

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 1999年 / 237卷 / 02期

关键词：

variational inequalities; projection method; splitting method; convergence criteria;

D O I：

10.1006/jmaa.1999.6422

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we study some new iterative methods for solving monotone variational inequalities by using the updating technique of the solution. It is shown that the convergence of the new methods requires the monotonicity and pseudomonotonicity of the operator. The new methods are very versatile and are easy to implement. The techniques include the splitting and extragradient methods as special cases, (C) 1999 Academic Press.

引用

页码：405 / 412

页数：8

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