Weak and strong convergence theorems of three step iteration process with errors for nonself-asymptotically nonexpansive mappings

Let EE be a real uniformly convex and smooth Banach space with PP as a sunny nonexpansive retraction, KK be a nonempty closed convex subset of EE. Let {Ti}i=13:K→E be three of weakly inward and asymptotically nonexpansive mappings with respect to PP. It is proved that three step iteration process with errors converges weakly and strongly to a common fixed point of {Ti}i=13 under certain conditions. It presents some new results in this paper.