Miguel Sama

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We consider two criteria of a solution associatedwith a set-valued optimization problem, a vector criterion and a set criterion.We show how solutions of a vector type can help to find solutions of a set type and reciprocally. As an application, we obtain a sufficient condition for the existence of solutions of a set type via vector optimization. © 2010(More)
In this paper the existence of the contingent epiderivative of a set-valued map is studied from a variational perspective. We give a variational characterization of the ideal minimal of a weakly compact set. As a consequence we characterize the existence of the contingent epiderivative in terms of an associated family of variational systems. When a(More)
This paper deals with multivalued quasi variational inequalities with pseudo-monotone and monotone maps. The primary objective of this work is to show that the notion of generalized solutions can be employed to investigate multivalued pseudo-monotone quasi variational inequalities. It is a well-known fact that a quasi variational inequality can conveniently(More)
In this paper, we study new aspects of the integral contraint regularization of state-constrained elliptic control problems (Jadamba et al. in Syst Control Lett 61(6):707–713, 2012). Besides giving new results on the regularity and the convergence of the regularized controls and associated Lagrange multipliers, the main objective of this paper is to give(More)
In this paper we revise several generalizations of the algebraic Hanh–Banach extension theorem for set-valuedmaps and give newversions in terms of set-relations and selections. We apply our results by establishing optimality conditions for a set-valued constrained optimization problem considering several types of solutions. Finally, we give necessary(More)
In this work we establish necessary and sufficient conditions for weak minimizers of a constrained set-valued optimization problem. These conditions are given by means of multiplier rules formulated in terms of contingent epiderivatives of scalar set-valuedmaps. We consider that the image spaces are finite dimensional and the set-valued maps are convex and(More)