Optimal Control of Problems Governed by Obstacle Type for Infinite Order

Ibtissam Mohamed El-Zoulati; S. A. El-Zahaby

Ibtissam Mohamed El-Zoulati Department of Mathematics, Faculty of Science, Al Azhar University Nasr City, Cairo, Egypt
S. A. El-Zahaby Department of Mathematics, Faculty of Science, Al Azhar University Nasr City, Cairo, Egypt

Keywords: Variational inequalities, optimal control, infinite order, penalization method.

Abstract

In this paper we obtain optimal control problems governed by variational inequalities of obstacle type for infinite order with finite dimension. We obtain the optimality condition under classical assumption using a dual regularized functional, to interpret the variational inequality we use a penalty method to get first - order conditions.

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