Approximating a common fixed point of finite family of asymptotically quasi-nonexpansive mappings in Banach spaces

被引：4

作者：

Woldeamanuel S.T. ^{[1
]}

Sangago M.G. ^{[1
]}

Hailu H.Z. ^{[2
]}

机构：

[1] Department of Mathematics, College of Natural Sciences, Addis Ababa University, P.O. Box 1176, Addis Ababa

[2] Department of Mathematics, University of Botswana, Private Bag 00704, Gaborone

来源：

Afrika Matematika | 2016年 / 27卷 / 5-6期

关键词：

Asymptotically nonexpansive mapping; Asymptotically quasi-nonexpansive mapping; Common fixed point; One-step iterative algorithm; Weak and strong convergence;

D O I：

10.1007/s13370-016-0390-7

中图分类号：

学科分类号：

摘要：

The purpose of this paper is to prove convergence of a one-step iterative algorithm to approximate a common fixed point of finite family of asymptotically quasi-nonexpansive mappings in a uniformly convex Banach space by assuming some control conditions on the parameters. Our results extend and improve the corresponding results in the literature. © 2016, African Mathematical Union and Springer-Verlag Berlin Heidelberg.

引用

页码：949 / 961

页数：12

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