A combination of Newton's method and a regularization method has been considered for obtaining a stable approximate solution for ill-posed Hammerstein type operator equation. By choosing the regularization parameter according ...

In this paper we report on a method for regularizing a nonlinear Hammerstein type operator equation in Hilbert scales. The proposed method is a combination of Lavrentieve regularization method and a Modified Newton's method ...

In this paper regularized solutions of ill-posed Hammerstein type operator equation KF(x) = y, where K : X->Y is a bounded linear operator with non-closed range and F : X->X is non-linear, are obtained by a two step Newton ...