Fixed Point Theory and Applications
Volume 2009 (2009), Article ID 402602, 16 pages
doi:10.1155/2009/402602
Research Article

Relaxed Composite Implicit Iteration Process for Common Fixed Points of a Finite Family of Strictly Pseudocontractive Mappings

L. C. Ceng,1 David S. Shyu,2 and J. C. Yao3

1Department of Mathematics, Shanghai Normal University, Shanghai 200234, China
2Department of Finance, National Sun Yat-Sen University, Kaohsiung 80424, Taiwan
3Department of Applied Mathematics, National Sun Yat-Sen University, Kaohsiung 804, Taiwan

Received 26 November 2008; Accepted 28 May 2009

Academic Editor: Lai-Jiu Lin

Copyright © 2009 L. C. Ceng 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 propose a relaxed composite implicit iteration process for finding approximate common fixed points of a finite family of strictly pseudocontractive mappings in Banach spaces. Several convergence results for this process are established.