Vectorial penalization for generalized functional constrained problems |
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Authors: | Marius Durea Radu Strugariu |
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Affiliation: | 1.Faculty of Mathematics,“Al. I. Cuza” University,Iasi,Romania;2.Department of Mathematics,“Gh. Asachi” Technical University,Iasi,Romania |
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Abstract: | In this paper we use a double penalization procedure in order to reduce a set-valued optimization problem with functional constraints to an unconstrained one. The penalization results are given in several cases: for weak and strong solutions, in global and local settings, and considering two kinds of epigraphical mappings of the set-valued map that defines the constraints. Then necessary and sufficient conditions are obtained separately in terms of Bouligand derivatives of the objective and constraint mappings. |
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