Journal of Inequalities and Applications
Volume 2007 (2007), Article ID 37513, 10 pages
doi:10.1155/2007/37513
Research Article

Strong Convergence to Common Fixed Points of a Finite Family of Nonexpansive Mappings

Yeong-Cheng Liou,1 Yonghong Yao,2 and Kenji Kimura3

1Department of Information Management, Cheng Shiu University, Kaohsiung 833, Taiwan
2Department of Mathematics, Tianjin Polytechnic University, Tianjin 300160, China
3Department of Applied Mathematics, National Sun Yat-Sen University, Kaohsiung 804, Taiwan

Received 24 December 2006; Accepted 2 May 2007

Academic Editor: Yeol Je Cho

Copyright © 2007 Yeong-Cheng Liou 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 suggest and analyze an iterative algorithm for a finite family of nonexpansive mappings T1,T2,…,Tr. Further, we prove that the proposed iterative algorithm converges strongly to a common fixed point of T1,T2,…,Tr.