Journal of Inequalities and Applications
Volume 2008 (2008), Article ID 280908, 10 pages
doi:10.1155/2008/280908
Research Article

Strong Convergence of an Implicit Iteration Algorithm for a Finite Family of Pseudocontractive Mappings

Yonghong Yao1 and Yeong-Cheng Liou2

1Department of Mathematics, Tianjin Polytechnic University, Tianjin 300160, China
2Department of Information Management, Cheng Shiu University, Kaohsiung 833, Taiwan

Received 2 December 2007; Accepted 2 January 2008

Academic Editor: Ram Verma

Copyright © 2008 Yonghong Yao and Yeong-Cheng Liou. 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

Strong convergence theorems for approximation of common fixed points of a finite family of pseudocontractive mappings are proven in Banach spaces using an implicit iteration scheme. The results presented in this paper improve and extend the corresponding results of Osilike, Xu and Ori, Chidume and Shahzad, and others.