Convergence theorems of implicit iterates with errors for generalized asymptotically quasi-nonexpansive mappings in Banach spaces

In this paper, we prove that an implicit iterative process with errors converges strongly to a common fixed point for a nite family of generalized asymptotically quasi-nonexpansive mappings on unbounded sets in a uniformly convex Banach space. Our results unify, improve and generalize the corresponding results of Ud-din and Khan [۴], Sun [۲۱], Wittman [۲۳], Xu and Ori [۲۶] and many others.

Keywords:

Generalized asymptotically quasi-nonexpansive mapping , implicit iteration process with errors , Common fixed point , strong convergence , uniformly convex Banach space