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Title of Journal: J Optim Theory Appl

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Abbravation: Journal of Optimization Theory and Applications

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Springer US

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DOI

10.1007/s00220-009-0875-4

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1573-2878

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On Regularity for Constrained Extremum Problems P

Authors: A Moldovan L Pellegrini
Publish Date: 2009/03/05
Volume: 142, Issue: 1, Pages: 165-183
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Abstract

A particular theorem for linear separation between two sets is applied in the image space associated with a constrained extremum problem In this space the two sets are a convex cone depending on the constraints equalities and inequalities of the given problem and the homogenization of its image It is proved that the particular linear separation is equivalent to the existence of Lagrangian multipliers with a positive multiplier associated with the objective function ie a necessary optimality condition A comparison with the constraint qualifications and the regularity conditions existing in the literature is performed

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