Fixed Point Theory and Applications 
Volume 2006 (2006), Article ID 82738, 11 pages
doi:10.1155/FPTA/2006/82738

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

Abstract

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).