Convergence to Compact Sets of Inexact Orbits of Nonexpansive Mappings in Banach and Metric Spaces

Evgeniy Pustylnik, Simeon Reich, Alexander J. Zaslavski
2008 Fixed Point Theory and Applications  
Recommended by Brailey Sims We study the influence of computational errors on the convergence to compact sets of orbits of nonexpansive mappings in Banach and metric spaces. We first establish a convergence theorem assuming that the computational errors are summable and then provide examples which show that the summability of errors is necessary for convergence.
doi:10.1155/2008/528614 fatcat:trndh6oclnfxpd3y7gyxchh574