Optimal Control Problems for Set-Valued Quasivariational Inequalities with Applications

Abstract

In this paper we investigate the optimal control problem for set-valued quasivariational inequality with unilateral constraints. Under suitable conditions, we prove that the solution to the current optimal control problem converges to a solution to old control problems. By way of application, we utilize our results presented in the paper to study the optimal control associated with boundary value problems which is described by frictional contact problems and a stationary heat transfer problem with unilateral constraints.

Keywords

• convergence results
• inverse strong monotonicity
• frictional contact
• heat transfer
• optimal control
• optimal pair