Strong convergence of implicit iterates with errors for non-Lipschitzian asymptotically quasi-nonexpansive type mappings in Banach spaces


G. S. Saluja




In this paper we prove that an implicit iterative process with errors converges strongly to a common fixed point for a finite family of asymptotically quasi-nonexpansive type mappings on unbounded sets in a uniformly convex Banach space. Our results unify, improve and generalize the corresponding results of Ud-din and Khan, Sun, Wittman, Xu and Ori and many others.