ON THE CONVERGENCE OF NOOR ITERATION PROCESS FOR ZAMFIRESCU MAPPING IN ARBITRARY BANACH SPACES

Abstract

In this paper, convergence theorem of Rafiq [16], regarding to approximation of fixed point of Zamfirescu mappings in arbitrary Banach spaces using Mann iteration process with errors in the sense of Liu [10] is extended to Noor iteration process with errors in the sense of [15], [14]. Our result generalizes and improves corresponding results of Berinde [2], [3], Rhoades ([18], [19]), Rafiq [16] in arbitrary Banach spaces.