CONVERGENCE RATES OF THE TIKHONOV REGULARIZATION FOR ILL-POSED MIXED VARIATIONAL INEQUALITIES WITH INVERSE-STRONGLY MONOTONE PERTURBATIONS

Abstract

In this paper, we study the convergence rates for an operator method of regularization to solve ill-posed mixed variational inequalities involving monotone operators in Banach spaces, in case perturbative operators are inverse-strongly monotone. Our results are presented in the form of combination of finite-dimensional approximations of spaces. An illustrative numerical result is given.