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

Approximation of a common random fixed point for a finite family of random operators

Somyot Plubtieng1 , Poom Kumam2 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

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.