Strong convergence theorems for an infinite family of nonexpansivemappings in Banach spaces

摘要

In an infinite-dimensional Hilbert space, the normal Mann's iteration algorithm has onlyweak convergence, in general, even for nonexpansive mappings. In order to get a strongconvergence result, we modify the normal Mann's iterative process for an infinite familyof nonexpansive mappings in the framework of Banach spaces. Our results improve andextend the recent results announced by many others.