Gunduz, Birol; Akbulut, Sezgin

In this paper, we consider S iteration process to approximate the common fixed points of a finite family of I-asymptotically nonexpansive mappings in Banach spaces. We also study the different convergence criteria of S iteration process under some suitable conditions. It presents some new results in this paper.

Gunduz, Birol; Akbulut, Sezgin

Let E be a real uniformly convex and smooth Banach space with P as a sunny nonexpansive retraction, K be a nonempty closed convex subset of E. Let Ti : K → E (i = 1,2,3) be three of weakly inward and nonself asymptotically nonexpansive mappings with respect to P. It is proved that three step iteration converges weakly and strongly to a common fixed point of Ti (i=1,2,3) under certain conditions. It presents some new results in this paper.