Convergence rates of regularized solutions of nonlinear ill-posed operator equations involving monotone operators

Abstract

The convergence rates of regularized solutions of nonlinear ill-posed operator equations involving monotone operators are investigated, and conditions that guarantee convergence rates like\(O(\delta ^{\frac{1}{2}} ),{\bf{ }}O(\delta ^{\frac{2}{3}} )\) and\(O(\delta ^{\frac{n}{{n + 1}}} )\) are given, where δ denotes the noise level of the data perturbation.