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

Recommended by Yeol Je Cho

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.