The Convergence Of Implicit Iteration Process For Strictly Pseudocontractive Maps

Let T: D → D be a strictly pseudocontractive mapping. Osilike extended implicit iteration process for nonexpansive mapping introduced by Xu and Ori to the case for strictly pseudocontractive maps and got a series of the convergence results.The purpose of this paper is to generalize results of Osilike to the case with errors. The convergence results of implicit iteration process for strictly pseudocontractive maps in Hilbert space and arbitrary Banach space are given, respectively. These results improve the previous ones.