Abstract and Applied Analysis
Volume 2010 (2010), Article ID 739561, 17 pages
doi:10.1155/2010/739561
Research Article

Strong Convergence Theorems for a Countable Family of Lipschitzian Mappings

Weerayuth Nilsrakoo1 and Satit Saejung2

1Department of Mathematics, Statistics, and Computer, Ubon Ratchathani University, Ubon Ratchathani 34190, Thailand
2Department of Mathematics, Khon Kaen University, Khon Kaen 40002, Thailand

Received 22 June 2010; Revised 14 September 2010; Accepted 12 October 2010

Academic Editor: W. A. Kirk

Copyright © 2010 Weerayuth Nilsrakoo and Satit Saejung. 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 modify the iterative method introduced by Kim and Xu (2006) for a countable family of Lipschitzian mappings by the hybrid method of Takahashi et al. (2008). Our results include recent ones concerning asymptotically nonexpansive mappings due to Plubtieng and Ungchittrakool (2007) and Zegeye and Shahzad (2008, 2010) as special cases.