Three-step methods for nonexpansive mappings and variational inequalities

被引：38

作者：

Noor, Muhammad Aslam

Huang, Zhenyu ^{[1
]}

机构：

[1] Nanjing Univ, Dept Math, Nanjing 210093, Peoples R China

[2] COMSATS Inst Informat Technol, Dept Math, Islamabad, Pakistan

来源：

APPLIED MATHEMATICS AND COMPUTATION | 2007年 / 187卷 / 02期

关键词：

three-step iteration methods; common elements; nonexpansive mappings; relaxed; (gamma; r)-cocoercive mappings; nonlinear variational inequalities; Hilbert spaces;

D O I：

10.1016/j.amc.2006.08.088

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we suggest and analyze three-step iteration methods for finding the common element of the set of fixed points of a nonexpansive mappings and the set of solutions of the variational inequalities. We also study the convergence criteria of three-step iterative method under some mild conditions. Our results include the previous results as special cases and may be considered as an improvement and refinement of the previously known results. (c) 2006 Elsevier Inc. All rights reserved.

引用

页码：680 / 685

页数：6

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