Weak and strong convergence theorems for a finite family of generalized asymptotically quasi-nonexpansive mappings

被引：5

作者：

Cholamjiak, Watcharaporn

Suantai, Suthep ^{[1
]}

机构：

[1] Chiang Mai Univ, Dept Math, Fac Sci, Chiang Mai 50200, Thailand

来源：

COMPUTERS & MATHEMATICS WITH APPLICATIONS | 2010年 / 60卷 / 07期

关键词：

Generalized asymptotically quasi-nonexpansive mapping; Iterative method; Common fixed point; Banach space; Strong convergence; COMMON FIXED-POINTS; ITERATIVE SCHEME; INEQUALITIES; SPACES;

D O I：

10.1016/j.camwa.2010.07.025

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we introduce a new iterative scheme for finding a common Fixed point of a finite family of generalized asymptotically quasi-nonexpansive mappings in a uniformly convex Banach space. We establish weak and strong convergence theorems. Our main results improve and extend the corresponding ones obtained in Schu (1991) [J. Schu, Iterative construction of fixed points of asymptotically nonexpansive mapping, J. Math. Anal. Appl. 159 (1991) 407-413] and many others. (C) 2010 Elsevier Ltd. All rights reserved.

引用

页码：1917 / 1923

页数：7

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