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

Nguyen Thi Thu Thuy

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.

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ISSN: 1229-1595 (Print), 2466-0973 (Online)