In this paper, we give a necessary and sufficient condition of an implicit iterative process with errors which converges strongly to a common fixed point for a finite family of generalized asymptotically quasi-nonexpansive mappings on unbounded sets in a real Banach space. Our results unify, improve and generalize the corresponding results of Fukhar-ud-din and Khan [5], Sun [21], Wittmann [23], Xu and Ori [25] and many others.
