Newton—Kantorovich Iterative Regularization and Generalized Discrepancy Principle for Norilinear Ill-Posed Equations Involving Accretive Mappings

摘要

In this paper, in order to solve nonlinear ill-posed operator equations involving an m-accretive mapping on a real Banach space, that does not admit a weak sequential continuous duality mapping, we prove a strongly convergent theorem for Newton—Kantorovich iterative regularization method with a posteriori stopping rule. In our results, the Lipschitz continuity of the derivatives for the mapping is not necessary.