Optimal Control Problems and Variational Inequalities in Smooth Reflexive Banach Space

We consider an optimal control problem where the state-control relation is given generalized obstacle problem. We also give an existence result for solutions to such aproblem. The main tool is a stability result, based on the Mosco-convergence theory, that gives the weak closeness of the control-to-state operator

Keywords:

Variational inequality , Equilibrium problem , Mosco convergence , Optimal control