Strong convergence theorems of modified Mann iterative process for strict pseudo-contractions in Hilbert spaces

被引：25

作者：

Qin, Xiaolong ^{[1
,2
,3
]}

Shang, Meijuan ^{[4
]}

Kang, Shin Min ^{[1
,2
]}

机构：

[1] Gyeongsang Natl Univ, Dept Math, Chinju 660701, South Korea

[2] Gyeongsang Natl Univ, RINS, Chinju 660701, South Korea

[3] Henan Univ, Coll Math & Informat Sci, Kaifeng 475001, Peoples R China

[4] Shijiazhuang Univ, Dept Math, Shijiazhuang 050035, Peoples R China

来源：

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS | 2009年 / 70卷 / 03期

关键词：

Nonexpansive mapping; Hilbert space; Iterative algorithm; Fixed point; NONEXPANSIVE-MAPPINGS; FIXED-POINTS; NONLINEAR MAPPINGS; APPROXIMATION; WEAK;

D O I：

10.1016/j.na.2008.02.009

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we modify the normal Mann's iterative process to have strong convergence for a k-strictly pseudo-contractive non-self mapping in the framework of Hilbert spaces. Our results improve and extend the corresponding results announced by many others. (C) 2008 Elsevier Ltd. All rights reserved.

引用

页码：1257 / 1264

页数：8

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