Fixed Point Theory and Applications
Volume 2008 (2008), Article ID 856145, 7 pages
Convergence Theorems of Fixed Points for a Finite Family of Nonexpansive Mappings in Banach Spaces
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.
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.