Dual Convergences of Iteration Processes for Nonexpansive Mappings in Banach Spaces

摘要

In this paper we establish a dual weak convergence theorem for the Ishikawa iteration process for nonexpansive mappings in a reflexive and strictly convex Banach space with a uniformly Gateaux differentiable norm, and then apply this result to study the problem of the weak convergence of the iteration process.