Fixed Point Theory and Applications
Volume 2010 (2010), Article ID 518243, 10 pages
doi:10.1155/2010/518243

Convergence of inexact iterative schemes for nonexpansive set-valued mappings

Abstract

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.