Rahma Sahraoui - Laboratory of Pure and Applied Mathematics,, Department of Mathematics, UMAB University of Mostaganem, City, Algeria

In this paper we study a discrete time version of deterministic models in optimization in infinite dimensional. The functionals are assumed to be merely lower semi continuous. We obtain optimality conditions which are always necessary and which are also sufficient in the convex case whenever the given problem satisfies a qualification condition.

Nonsmooth analysis, Subdifferential, Qualification condition, Normal compacity, Epi-Lipschitz, Prox-regular set