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

Recommended by Jerzy Jezierski

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.