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Summary of mathematics doctoral thesis: Newton kantorovich iterative regularization and the proximal point methods for nonlinear ill posed equations involving monotone operators
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The results of this thesis are: Propose and prove the strong convergence of a new modification of the Newton-Kantorovich iterative regularization method (0.6) to solve the problem (0.1) with A is a monotone mapping from Banach space E into the dual space E ∗ , which overcomes the drawbacks of method (0.6). | Summary of mathematics doctoral thesis: Newton kantorovich iterative regularization and the proximal point methods for nonlinear ill posed equations involving monotone operators