The results of this thesis are: Propose and prove the strong convergence of a new modification of the Newton-Kantorovich iterative regularization method () to solve the problem () with A is a monotone mapping from Banach space E into the dual space E ∗ , which overcomes the drawbacks of method (). | Summary of mathematics doctoral thesis: Newton kantorovich iterative regularization and the proximal point methods for nonlinear ill posed equations involving monotone operators
