An extension of the Basic Constraint Qualification to nonconvex vector optimization problems

Bienvenido Jiménez (), Vicente Novo () and Miguel Sama ()

Journal of Global Optimization, 2013, vol. 56, issue 4, 1755-1771

Abstract: In this paper a Basic Constraint Qualification is introduced for a nonconvex infinite-dimensional vector optimization problem extending the usual one from convex programming assuming the Hadamard differentiability of the maps. Corresponding KKT conditions are established by considering a decoupling of the constraint cone into half-spaces. This extension leads to generalized KKT conditions which are finer than the usual abstract multiplier rule. A second constraint qualification expressed directly in terms of the data is also introduced, which allows us to compute the contingent cone to the feasible set and, as a consequence, it is proven that this condition is a particular case of the first one. Relationship with other constraint qualifications in infinite-dimensional vector optimization, specially with the Kurcyuscz-Robinson-Zowe constraint qualification, are also given. Copyright Springer Science+Business Media, LLC. 2013

Keywords: Vector optimization; Constraint qualifications; Multiplier rules; Contingent cone; 90C30; 49K27 (search for similar items in EconPapers)
Date: 2013
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Citations: View citations in EconPapers (2)

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DOI: 10.1007/s10898-012-9938-8

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