Journal of Applied Mathematics and Stochastic Analysis
Volume 2007 (2007), Article ID 082517, 10 pages
Research Article

Random Three-Step Iteration Scheme and Common Random Fixed Point of Three Operators

Somyot Plubtieng,1 Poom Kumam,1,2 and Rabian Wangkeeree1

1Department of Mathematics, Faculty of Science, Naresuan University, Phitsanulok 65000, Thailand
2Department of Mathematics, Faculty of Science, King Mongkut's University of Technology Thonburi (KMUTT), Bangkok 10140, Thailand

Received 23 July 2006; Revised 5 November 2006; Accepted 7 November 2006

Copyright © 2007 Somyot Plubtieng 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.


We construct random iterative processes with errors for three asymptotically nonexpansive random operators and study necessary conditions for the convergence of these processes. The results presented in this paper extend and improve the recent ones announced by I. Beg and M. Abbas (2006), and many others.