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

Binayak S. Choudhury

Department of Mathematics, Bengal Engineering College (Deemed University), Howrah, West Bengal 711103, India

Received 12 August 2002; Revised 7 October 2003

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.