Necessary and sufficient conditions for regularity of constraints in convex programming

Necessary and sufficient conditions for regularity of constraints in convex programming

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Article ID: iaor19942379
Country: Germany
Volume: 25
Issue: 4
Start Page Number: 329
End Page Number: 340
Publication Date: Jul 1992
Journal: Optimization
Authors:
Keywords: Lagrangean methods
Abstract:

This paper derives some necessary and sufficient conditions for (Lagrangean) regularity of the nondifferentiable convex programming problem. Furthermore, some weakest constraint qualifications are presented using the supporting functions and their derivatives, the outer normal cones, the single constraint function and its directional derivatives and epigraph and the projections of the outer normal cones.

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