On some method of regularization for monotone equations in Hilbert space
I. P. Ryazantseva1
| Annotation | We study equations with monotone operators in Hilbert space with perturbed data. We construct for this ill-posed problem implicit iterative regularized method using continuous analogue of Newton method. In comparison with classical operator regularized method we introduce supplementary terms in right-hand side of regularized equation. By using a priori information of desired solution we choose initial approximation in this iterative method. We obtain sufficient conditions of strong convergence for propose method. |
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| Keywords | monotone operator, approximate data, iterative method, regularization, convergence |
1Professor of Applied Mathematics Chair, Nizhny Novgorod State Tehnical University named after R.E. Alekseev, Nizhny Novgorod; lryazantseva@applmath.ru
Citation: I. P. Ryazantseva, "[On some method of regularization for monotone equations in Hilbert space]", Zhurnal Srednevolzhskogo matematicheskogo obshchestva,18:1 (2016) 70–74 (In Russian)
