On modified iterative method for nonexpansive mappings and monotone mappings

被引：181

作者：

Yao, Yonghong

Yao, Jen-Chih ^{[1
]}

机构：

[1] Natl Sun Yat Sen Univ, Dept Appl Math, Kaohsiung 804, Taiwan

[2] Tianjin Polytech Univ, Dept Math, Tianjin 300160, Peoples R China

来源：

APPLIED MATHEMATICS AND COMPUTATION | 2007年 / 186卷 / 02期

关键词：

nonexpansive mapping; alpha-inverse-strongly monotone mapping; variational inequality; strictly pseudocontractive mapping;

D O I：

10.1016/j.amc.2006.08.062

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we introduce a new iterative scheme for finding the common element of the set of fixed points of a non-expansive mapping and the set of solutions of the variational inequality for alpha-inverse-strongly monotone mappings. We show that the sequence converges strongly to a common element of the above two sets under some parameters controlling conditions. (c) 2006 Elsevier Inc. All rights reserved.

引用

页码：1551 / 1558

页数：8

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