The Convergence Of Implicit Iteration Process With Errors For A Finite Family Of Asymptotically Nonexpansive Mapping

In this paper, we study the convergence of implicit iteration process with errors for a finite family of asymptotically nonexpansive mappings. We have introduced two implicititerative methods with errors. A sort of errors u_n is called first class implicit iteration processwith errors, the other one γ_nu_nis called second class implicit iteration process with errors. Using the property of spaces and mapping, we have proven their weak convergence and strong convergence in uniformly convex Banach space.