Journal of Applied Mathematics and Stochastic Analysis
Volume 2004 (2004), Issue 4, Pages 385-394
doi:10.1155/S1048953304208012
An iteration for finding a common random fixed point
Department of Mathematics, Bengal Engineering College (Deemed University), Howrah, West Bengal 711103, India
Received 12 August 2002; Revised 7 October 2003
Copyright © 2004 Binayak S. Choudhury. 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 define a random iteration scheme and consider its convergence
to a common random fixed point of two random operators defined
on a convex subset of a separable Hilbert space. We also consider
the case when the subset is further compact.