Vectorial penalization for generalized functional constrained problems

Marius Durea () and Radu Strugariu ()
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Marius Durea: “Al. I. Cuza” University
Radu Strugariu: “Gh. Asachi” Technical University

Journal of Global Optimization, 2017, vol. 68, issue 4, No 11, 899-923

Abstract: 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.

Keywords: Set-valued vector optimization; Penalization; Bouligand derivative of set-valued maps; Necessary optimality conditions; 49J53; 49K27; 90C46 (search for similar items in EconPapers)
Date: 2017
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Citations: View citations in EconPapers (2)

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DOI: 10.1007/s10898-017-0505-1

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