Fixed Point Theory and Applications
Volume 2008 (2008), Article ID 856145, 7 pages
doi:10.1155/2008/856145
Convergence theorems of fixed points for a finite family of nonexpansive mappings in Banach spaces
Yeol Je Cho1
, Shin Min Kang2
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
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.