The aim of this article is to study an implicit iteration process with errors for a finite family of non-Lipschitzian asymptotically nonexpansive in the intermediate sense mappings in Banach spaces. Also we have established some strong convergence theorems for said scheme to converge to common fixed point. The results presented in this paper extend and improve the corresponding results of [1], [3]-[11], [13], [14], [16] and many others.