Abstract and Applied Analysis
Volume 4 (1999), Issue 1, Pages 1-19
doi:10.1155/S1085337599000032

Convergence of generic infinite products of affine operators

Abstract

We establish several results concerning the asymptotic behavior of random infinite products of generic sequences of affine uniformly continuous operators on bounded closed convex subsets of a Banach space. In addition to weak ergodic theorems we also obtain convergence to a unique common fixed point and more generally, to an affine retraction.