A weak ergodic theorem for infinite products of Lipschitzian mappings

Let K be a bounded, closed, and convex subset of a Banach space. For a Lipschitzian self-mapping A of K, we denote by Lip(A) its Lipschitz constant. In this paper, we establish a convergence property of infinite products of Lipschitzian self-mappings of K. We consider the set of all sequences {At }t...

Full description

Bibliographic Details
Main Authors: Simeon Reich, Alexander J. Zaslavski
Format: Article
Language:English
Published: Hindawi Limited 2003-01-01
Series:Abstract and Applied Analysis
Online Access:http://dx.doi.org/10.1155/S1085337503206060