Title: A new multistep iteration for a finite family of asymptotically quasi-nonexpansive mappings in convex metric spaces
Abstract: Sufficient conditions for the convergence of a new multistep iteration to a common fixed point of a finite family of asymptotically quasi-nonexpansive mappings in the framework of convex metric spaces are obtained.As an application, related results for a new three step iteration are derived.Our convergence results generalize and refine many known results.