Academic Editor: Ram U. Verma
Copyright © 2012 Bashir Ali and G. C. Ugwunnadi. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
Let be a real reflexive and strictly convex Banach space with a uniformly Gâteaux differentiable norm. Let be a family of uniformly asymptotically regular generalized asymptotically nonexpansive semigroup of , with functions . Let and be a weakly contractive map. For some positive real numbers and satisfying , let be a -strongly accretive and -strictly pseudocontractive map. Let be an increasing sequence in with , and let and be sequences in satisfying some conditions. Strong convergence of a viscosity iterative sequence to common fixed points of the family of uniformly asymptotically regular asymptotically nonexpansive semigroup, which also solves the variational inequality
, is proved in a framework of a real Banach space.