On Regularity for Constrained Extremum Problems. Part 1: Sufficient Optimality Conditions

A. Moldovan () and L. Pellegrini ()
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A. Moldovan: University of Pisa
L. Pellegrini: University of Verona

Journal of Optimization Theory and Applications, 2009, vol. 142, issue 1, No 8, 147-163

Abstract: Abstract The main aspect of the paper consists in the application of a particular theorem of separation between two sets to the image associated with a constrained extremum problem. In the image space, the two sets are a convex cone, which depends on the constraints (equalities or inequalities) of the given problem, and its image. In this way, a condition for the existence of a regular saddle point (i.e., a sufficient optimality condition) is obtained. This regularity condition is compared with those existing in the literature.

Keywords: Image space; Constraint qualifications; Regularity conditions; Calmness; Metric regularity (search for similar items in EconPapers)
Date: 2009
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Citations: View citations in EconPapers (32)

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DOI: 10.1007/s10957-009-9518-3

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