Approximating Fixed Points of Nonexpansive Mappings by a Faster   Iteration Process
  In this paper, we consider a new iteration process which is faster than all of Picard, Mann, Ishikawa and Agarwal et al. processes. We also prove some strong and weak convergence theorems for the class of nonexpansive mappings in Banach spaces. 
Nazli Kadioglu, Isa Yildirim
math.FA