On some method of regularization for monotone equations in Hilbert space

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.