An iterative scheme for solving ill-posed nonlinear operator equations with monotone operators is introduced and studied in this paper. A Dynamical Systems Method (DSM) algorithm for stable solution of ill-posed operator equations with monotone operators is proposed and its convergence is proved. A new discrepancy principle is proposed and justified. A priori and a posteriori stopping rules for the DSM algorithm are formulated and justified.
Dynamical systems method for solving nonlinear equations with monotone operators
A discrepancy principle for equations with monotone continuous operators
Dynamical Systems Gradient method for solving nonlinear equations with monotone operators
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