A UNIFIED PENALTY FRAMEWORK FOR HISTORY-DEPENDENT MIXED VARIATIONAL-HEMIVARIATIONAL INEQUALITIES

Abstract

This work investigates penalty methods for mixed variationalhemivariationalinequality problems involving history-dependent operators as the penalty parameter ap-proaches zero. We have demonstrated the unique solvability of these penalised problems andtheir convergence to the solution of the original history-dependent mixed variationalhemi-variational inequality problems.