Journal of Global Optimization

, Volume 68, Issue 4, pp 899–923 | Cite as

Vectorial penalization for generalized functional constrained problems

Article

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 

Mathematics Subject Classification

49J53 49K27 90C46 

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Copyright information

© Springer Science+Business Media New York 2017

Authors and Affiliations

  1. 1.Faculty of Mathematics“Al. I. Cuza” UniversityIasiRomania
  2. 2.Department of Mathematics“Gh. Asachi” Technical UniversityIasiRomania

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