Fixed Point Theory and Applications
Volume 2008 (2008), Article ID 856145, 7 pages
doi:10.1155/2008/856145
Research Article

Convergence Theorems of Fixed Points for a Finite Family of Nonexpansive Mappings in Banach Spaces

Yeol Je Cho,1 Shin Min Kang,2 and Xiaolong Qin2

1Department of Mathematics and RINS, Gyeongsang National University, Chinju 660-701, South Korea
2Department of Mathematics Education and RINS, Gyeongsang National University, Chinju 660-701, South Korea

Received 21 October 2007; Accepted 15 December 2007

Academic Editor: Jerzy Jezierski

Copyright © 2008 Yeol Je Cho et al. 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.

Abstract

We modify the normal Mann iterative process to have strong convergence for a finite family nonexpansive mappings in the framework of Banach spaces without any commutative assumption. Our results improve the results announced by many others.