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 I-i-asymptotically non-expansive nonself-mappings {T-i}(i-1)(r) is constructed in a uniformly convex Banach space. Weak and strong convergence theorems of this iterative scheme to a common fixed point of {T-i}(i-1)(r) and {I-i}(i-1)(r) are proved in a uniformly convex Banach space. The results of this paper improve and extend the corresponding results of Temir [2].