Strong convergence of the modified Mann iterative method for strict pseudo-contractions

被引：18

作者：

Marino, Giuseppe ^{[1
]}

Colao, Vittorio ^{[1
]}

Qin, Xiaolong ^{[2
]}

Kang, Shin Min ^{[2
]}

机构：

[1] Univ Calabria, Dipartimento Matemat, Arcavacata Di Rende, Italy

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

来源：

COMPUTERS & MATHEMATICS WITH APPLICATIONS | 2009年 / 57卷 / 03期

关键词：

Nonexpansive mapping; Hilbert space; Strict pseudo-contraction; Fixed point; Variational inequalities; NONEXPANSIVE-MAPPINGS; FIXED-POINTS; THEOREMS; WEAK; APPROXIMATION;

D O I：

10.1016/j.camwa.2008.10.073

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we introduce a modified Mann iterative process for approximating a common fixed point of a finite family of strict pseudo-contractions in Hilbert spaces. We establish the strong convergence theorem of the general iteration scheme under some mild conditions. Our results extend and improve the recent ones announced by many others. (C) 2008 Elsevier Ltd. All rights reserved.

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收藏

页码：455 / 465

页数：11

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