Fixed Point Theory and Applications 
Volume 2008 (2008), Article ID 384629, 10 pages
doi:10.1155/2008/384629
Research Article

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
Received 13 September 2007; Accepted 25 November 2007

Recommended by Massimo Furi

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.