Fixed Point Theory and Applications
Volume 2010 (2010), Article ID 518243, 10 pages
Research Article

Convergence of Inexact Iterative Schemes for Nonexpansive Set-Valued Mappings

Department of Mathematics, The Technion-Israel Institute of Technology, 32000 Haifa, Israel

Received 23 October 2009; Accepted 10 January 2010

Academic Editor: Mohamed A. Khamsi

Copyright © 2010 Simeon Reich and Alexander J. Zaslavski. 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.


Taking into account possibly inexact data, we study iterative schemes for approximating fixed points and attractors of contractive and nonexpansive set-valued mappings, respectively. More precisely, we are concerned with the existence of convergent trajectories of nonstationary dynamical systems induced by approximations of a given set-valued mapping.