Argyros, I.K.George, S.2026-02-052015Acta Mathematica Scientia, 2015, 35, 6, pp. 1318-13242529602https://doi.org/10.1016/S0252-9602(15)30056-4https://idr.nitk.ac.in/handle/123456789/26196In this paper, a modified Newton type iterative method is considered for approximately solving ill-posed nonlinear operator equations involving m-accretive mappings in Banach space. Convergence rate of the method is obtained based on an a priori choice of the regularization parameter. Our analysis is not based on the sequential continuity of the normalized duality mapping. © 2015 Wuhan Institute of Physics and Mathematics.Iterative regularizationM-accretive operatorNewton type methodNonlinear ill-posed equationsIterative regularization methods for nonlinear ill-posed operator equations with m-accretive mappings in banach spaces