Block monotone iterative algorithms for variational inequalities with nonlinear operators

被引：0

作者：

Ming-hui Ren

Jin-ping Zeng

机构：

[1] Hunan University of Arts and Science,Department of Mathematics

[2] Dongguan University of Technology,College of Software

来源：

Acta Mathematicae Applicatae Sinica, English Series | 2008年 / 24卷

关键词：

Monotone iterative algorithm; upper solution; lower solution; comparison theorem; variational inequality; 65M55;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

Some block iterative methods for solving variational inequalities with nonlinear operators are proposed. Monotone convergence of the algorithms is obtained. Some comparison theorems are also established. Compared with the research work in given by Pao in 1995 for nonlinear equations and research work in given by Zeng and Zhou in 2002 for elliptic variational inequalities, the algorithms proposed in this paper are independent of the boundedness of the derivatives of the nonlinear operator.

引用

页码：221 / 232

页数：11

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