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
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).