%0 Journal Article
%T Strong convergence of modified iterative algorithm for family of asymptotically nonexpansive mappings
%J International Journal of Nonlinear Analysis and Applications
%I Semnan University
%Z 2008-6822
%A Ugwunnadi, Godwin Chidi
%D 2016
%\ 12/20/2016
%V 7
%N 2
%P 93-108
%! Strong convergence of modified iterative algorithm for family of asymptotically nonexpansive mappings
%K Fixed point
%K Banach space
%K Asymptotically nonexpansive mapping
%R 10.22075/ijnaa.2016.479
%X In this paper we introduce new modified implicit and explicit algorithms and prove strong convergence of the two algorithms to a common fixed point of a family of uniformly asymptotically regular asymptotically nonexpansive mappings in a real reflexive Banach spaceĀ with a uniformly G$\hat{a}$teaux differentiable norm. Our result is applicable in $L_{p}(\ell_{p})$ spaces, $1 < p <\infty$ and consequently in sobolev spaces.
%U https://ijnaa.semnan.ac.ir/article_479_faac311c75f79ded9e0cb8b61b577217.pdf