Convergence of Inexact Iterative Schemes for Nonexpansive Set-Valued Mappings
Simeon Reich, Alexander J. Zaslavski · Fixed Point Theory and Applications · 2010
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.