Convergence of Regularized Solutions of Nonlinear Ill-Posed Problems with Monotone Operators

We consider convergence of regularized solutions of the ill-posed problem b ∈ Au, where A is a nonlinear monotone set-valued mapping on a Hilbert space. The regularized solutions u _e are solutions of the perturbed inclusion b ∈ Au + εΒu, where Β plays the role of a regularizer and ε > 0. We also provide a convergence rate in the case of single-valued mappings.