Volume 36 • Number 3 • 2013   • Approximation of Common Fixed Points of Family of Asymptotically Nonexpansive Mappings Eric U. Ofoedu, Habtu Zegeye and Naseer Shahzad Abstract. In this paper, we introduce a new iteration process for approximation of common fixed point of countably infinite family of nonself asymptotically nonexpansive mappings in uniformly convex Banach spaces, and prove weak and strong convergence of our iteration process to a common fixed point of these operators. Our theorems extend, generalize and unify many recently announced results. Our iteration process, corollaries and methods of proof are of independent interest. 2010 Mathematics Subject Classification: 47H05, 47J05, 47J25 Full text: PDF