|MSC:||47H09||Contraction-type mappings, nonexpansive mappings, $A$-proper mappings, etc.|
In the present paper, we establish new strong convergence theorems of the
modified Mann and the modified Ishikawa iterative scheme with errors for a mapping which is
asymptotically nonexpansive in the intermediate sense in a uniformly convex Banach space.
Our theorems significantly extend and improve Kim and Kims results. The results in the
paper even in the case of asymptotically nonexpansive mappings are new.