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

doi:10.1016/S0252-9602(15)30056-4

Abstract

Abstract:

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.

Key words: nonlinear ill-posed equations, iterative regularization, m-accretive operator, Newton type method

CLC Number:

47J05

Ioannis K. ARGYROS, Santhosh GEORGE. ITERATIVE REGULARIZATION METHODS FOR NONLINEAR ILL-POSED OPERATOR EQUATIONS WITH M-ACCRETIVE MAPPINGS IN BANACH SPACES[J].Acta mathematica scientia,Series B, 2015, 35(6): 1318-1324.

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