Weak and strong convergence theorems for a finite family of I-asymptotically nonexpansive mappings

摘要

In this paper, a new two-step iterative scheme for a finite family of Ii-asymptotically nonexpansive nonself-mappings {Ti}i=1r is constructed in a uniformly convex Banach space. Weak and strong convergence theorems of this iterative scheme to a common fixed point of {Ti}i=1r and {Ii}i=1r are proved in a uniformly convex Banach space. The results of this paper improve and extend the corresponding results of Temir [2].