Let E be a uniformly convex Banach space and K be a nonempty
closed convex subset of E. Let T : K → E be a nonself mapping. In this paper,we
establish the weak and strong convergence of a sequence of a modified Ishikawa
iterative process of a nonself I-asymptotically quasi-nonexpansive mapping in a
Banach space. The results obtained in this paper extend and improve the results
in the existing lituratures.