Fixed Point Theory and Applications
Volume 2006 (2006), Article ID 82738, 11 pages

A new composite implicit iterative process for a finite family of nonexpansive mappings in Banach spaces

Feng Gu and Jing Lu

Department of Mathematics, Institute of Applied Mathematics, Hangzhou Teacher's College, Hangzhou 310036, Zhejiang, China

Received 18 January 2006; Revised 22 August 2006; Accepted 23 August 2006

Copyright © 2006 Feng Gu and Jing Lu. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


The purpose of this paper is to study the weak and strong convergence of implicit iteration process with errors to a common fixed point for a finite family of nonexpansive mappings in Banach spaces. The results presented in this paper extend and improve the corresponding results of Chang and Cho (2003), Xu and Ori (2001), and Zhou and Chang (2002).