Fixed Point Theory and Applications
Volume 2009 (2009), Article ID 279058, 7 pages
doi:10.1155/2009/279058
Research Article

Strong Convergence of Two Iterative Algorithms for Nonexpansive Mappings in Hilbert Spaces

Yonghong Yao,1 Yeong Cheng Liou,2 and Giuseppe Marino3

1Department of Mathematics, Tianjin Polytechnic University, Tianjin 300160, China
2Department of Information Management, Cheng Shiu University, Kaohsiung 833, Taiwan
3Dipartimento di Matematica, Universitá della Calabria, 87036 Arcavacata di Rende (CS), Italy

Received 6 April 2009; Accepted 12 September 2009

Academic Editor: Simeon Reich

Copyright © 2009 Yonghong Yao et al. 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.

Abstract

We introduce two iterative algorithms for nonexpansive mappings in Hilbert spaces. We prove that the proposed algorithms strongly converge to a fixed point of a nonexpansive mapping T.