Ishikawa iterative processes with mixed errors for nonlinear equations with perturbed m-accretive mappings in Banach spaces

Abstract: The purpose of this paper is to study the convergence of the Ishikawa and Mann iterative sequences with mixed errors to approximate solutions of nonlinear operator equations with perturbed m-accretive mappings in arbitrary Banach spaces. The results presented in this paper extend and improve some recent results in Jung and Morales [Nonlinear Anal. TMA 46 (2001) 231–243], Jung et al. [Applied Math. Comput. 133 (2002) 389–406] and Kartsatos and Liu [Nonlinear Anal. TMA 24 (1995) 469–492]. [Copyright &y& Elsevier]