International Journal of Mathematics and Mathematical Sciences
Volume 2007 (2007), Article ID 069626, 12 pages
doi:10.1155/2007/69626
Research Article

Approximation of a Common Random Fixed Point for a Finite Family of Random Operators

Somyot Plubtieng,1 Poom Kumam,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 16 November 2006; Revised 18 April 2007; Accepted 24 June 2007

Academic Editor: Pavel Drabek

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.

Abstract

We construct implicit random iteration process with errors for a common random fixed point of a finite family of asymptotically quasi-nonexpansive random operators in uniformly convex Banach spaces. The results presented in this paper extend and improve the corresponding results of Beg and Abbas in 2006 and many others.