Strong convergence theorems of hybrid methods for two asymptotically nonexpansive mappings in Hilbert spaces

被引：9

作者：

Inchan, Issara ^{[1
]}

Plubtieng, Somyot ^{[2
]}

机构：

[1] Uttaradit Rajabhat Univ, Dept Math & Comp, Uttaradit 53000, Thailand

[2] Naresuan Univ, Dept Math, Phitsanulok 65000, Thailand

来源：

NONLINEAR ANALYSIS-HYBRID SYSTEMS | 2008年 / 2卷 / 04期

关键词：

Strong convergence; Asymptotically nonexpansive mappings; Asymptotically nonexpansive semigroups; Hybrid methods;

D O I：

10.1016/j.nahs.2008.09.006

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

In this paper, we introduce two modifications of the Ishikawa iteration, by using the hybrid methods, for asymptotically nonexpansive mappings and asymptotically nonexpansive semigroups in a Hilbert space. Then, we prove that such two sequences converge strongly to common fixed points of two symptotically nonexpansive mappings and asymptotically nonexpansive semigroups, respectively. Our main result is connected with the results of Plubtieng and Ungchittrakool [S. Plubtieng, K. Ungchittrakool, Strong convergence of modified Ishikawa iteration for two asymptotically nonexpansive mappings and semigroups, Nonlinear. Anal. 67(2007) 2306-2315], Martinez-Yanes and Xu [C. Martinez-Yanes, H.K. Xu, Strong convergence of CQ method for fixed point iteration processes, Nonlinear. Anal. 64 (2006) 2400-2411] and many others. (C) 2008 Elsevier Ltd. All rights reserved.

引用

页码：1125 / 1135

页数：11

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