A Regularized Variational Inequality Approach for Nonlinear Monotone Ill-Posed Equations

Abstract

We consider a regularized variational inequality approach for the stable solution of nonlinear ill-posed problems, where the involved operators are monotone on a given closed, convex subset of a Hilbert space. For suitable a priori parameter choices, we present new error estimates for the subclass of cocoercive operators, provided that the solution admits an adjoint source representation. Some numerical experiments are included.