Asymptotic Behavior of Asymptotically Nonexpansive Type Mappings in Banach Space

摘要

Let X be a uniformly convex Banach space X such that its dual X* has the KK property.Let C be a nonempty bounded closed convex subset of X and G be a directed system.Let = {Tt :t ∈ G} be a family of asymptotically nonexpansive type mappings on C.In this paper,we investigate the asymptotic behavior of {Ttx0 :t ∈ G} and give its weak convergence theorem.