Fixed Point Theory and Applications
Volume 2008 (2008), Article ID 384629, 10 pages
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

Academic Editor: Massimo Furi

Copyright © 2008 Yeong-Cheng Liou and Yonghong Yao. 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 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.