ITERATIVE REGULARIZATION METHODS FOR NONLINEAR ILL-POSED OPERATOR EQUATIONS WITH M-ACCRETIVE MAPPINGS IN BANACH SPACES

In 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.