CONVERGENT PROBLEM OF ITERATIVE SEQUENCES FOR NONLINEAR MAPPINGS WITH ERROR MEMBERS IN BANACH SPACES

摘要

In this paper, the approximation problems of Ishikawa iteration with errors of fixed points for asymptotically nonexpansive mappings and asymptotically pseudocontractive mappings in arbitrary real Banach spaces are investigated. Some necessary condition and sufficient condition for the convergence of iterative sequences are given respectively. The results thus extend and improve some recent corresponding results.