Fixed Point Theory and Applications
Volume 2008 (2008), Article ID 384629, 10 pages
doi:10.1155/2008/384629
Iterative algorithms for nonexpansive mappings
Yeong-Cheng Liou1
and Yonghong Yao2
1Department of Information Management, Cheng Shiu University, Kaohsiung 833, Taiwan
2Department of Mathematics, Tianjin Polytechnic University, Tianjin 300160, China
Abstract
We suggest and analyze two new iterative algorithms for a nonexpansive mapping T in Banach spaces. We prove that the proposed iterative algorithms converge strongly to some fixed point of T.