A general iterative method for obtaining an infinite family of strictly pseudo-contractive mappings in Hilbert spaces

被引：36

作者：

Wang, Shuang ^{[1
]}

机构：

[1] Yancheng Teachers Univ, Sch Math Sci, Yancheng 224051, Jiangsu, Peoples R China

来源：

APPLIED MATHEMATICS LETTERS | 2011年 / 24卷 / 06期

关键词：

Strong convergence; Strictly pseudo-contractive mapping; Fixed points; k-Lipschitzian; eta-strongly monotone; NONEXPANSIVE-MAPPINGS; STRONG-CONVERGENCE;

D O I：

10.1016/j.aml.2010.12.048

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this work, we consider a general composite iterative method for obtaining an infinite family of strictly pseudo-contractive mappings in Hilbert spaces. It is proved that the sequence generated by the iterative scheme converges strongly to a common point of the set of fixed points, which solves the variational inequality ((gamma f - mu F)q. p-q) <= 0. for p is an element of boolean AND(infinity)(i=1) F(T-i). Our results improve and extend corresponding ones announced by many others. (C) 2011 Elsevier Ltd. All rights reserved.

引用

页码：901 / 907

页数：7

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