Abstract: The purpose of this article is to study the weak and strong convergence of implicit iteration process with errors to a common fixed point for a finite family of asymptotically nonexpansive mappings and nonexpansive mappings in Banach spaces. The results presented in this article extend and improve thecorresponding results of [1, 2, 4-9, 11-15].

Key words: Asymptotically nonexpansive mapping, Nonexpansive mapping, Implicit iterative sequence with errors for a finite family, Common fixed point, Opial condition, Demi-closed principle, Semi-compactness