On Common Fixed Point of Nonself Nonexpansive Mappings for Multistep Iteration in Banach Spaces

H. Kiziltunc, I. Yildirim

Abstract

Suppose that E be a uniformly convex Banach space, let K be a nonempty closed convex subset of E with P as a nonexpansive retraction. Let $T : K \rightarrow E$ be a given nonself mapping. The modi¯ed multistep iterative scheme $\{x_n\}$ is defined by (1.10). We establish the weak convergence of a sequence of a modified multistep iteration of an nonself I -nonexpansive map in a Banach space which satisfies Opial's condition.