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Higher–Order Necessary Optimality Conditions for a Nonsmooth Extremum Problem

M. Castellani

Abstract

By extending the definition of Dini–Hadamard directional derivatives, higher–order necessary optimality conditions for a nonsmooth extremum problem are established, in the presence of both equality and inequality constraints. The presence of a regularity assumption for the inequality constraints strenghtens the optimality condition.

Received: 1997-01-15
Revised: 1998-03-12
Published Online: 2010-06-04
Published in Print: 1998-December

© Heldermann Verlag

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