Weak and Strong Convergence of Implicit Iterative Sequence with Errors for a Finite Family of Asymptotically Nonexpansive Mappings
Liping Yang · Chinese Annals of Mathematics · 2008
Let E be a real uniformly convex Banach spaces and K be a nonempty closed convex subset of E.Let {T_i}_(i=1)~N:K→K be a finite family of asymptotically nonexpansive mappings.It is proved that the implicit iterative sequence with errors converges weakly and strongly to some common fixed points of{Ti}_(i=1)~N under certain conditions.The results of this paper improve and extend the corresponding results.