Strong convergence of an iterative algorithm for pseudocontractive mapping in Banach spaces

被引：28

作者：

Yao, Yonghong ^{[1
]}

Liou, Yeong-Cheng

Chen, Rudong

机构：

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

[2] Cheng Shiu Univ, Dept Informat Management, Kaohsiung 833, Taiwan

来源：

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS | 2007年 / 67卷 / 12期

关键词：

strong convergence; pseudocontractive mapping; fixed point; uniformly smooth Banach spaces;

D O I：

10.1016/j.na.2006.10.013

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Let C be a nonempty closed convex subset of a real uniformly smooth Banach space X, T : C -> C a pseudocontractive mapping. Let {alpha(n)}, {beta(n)} and {gamma(n)} be three real sequences in (0, 1) satisfying appropriate conditions; then for fixed u epsilon C and arbitrary x(0) epsilon C, the sequence {x(n)} generated by x(n) = alpha(n)u + beta(n)x(n)-1 + gamma(n)Tx(n), n >= 1, converges strongly to a fixed point of T. (c) 2006 Elsevier Ltd. All rights reserved.

引用

页码：3311 / 3317

页数：7

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