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.
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页码：901 / 907
页数：7
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