We deal with differential conditions for local optimality. The conditions that we derive for inequality constrained problems do not require constraint qualifications and are the broadest conditions based on only first-order and second-order derivatives. A similar result is proved for equality constrained problems, although the necessary conditions require the regularity of the equality constraints.

Differential conditions for constrained nonlinear programming via Pareto optmization

PASCOLETTI, Adriano;SERAFINI, Paolo
2007-01-01

Abstract

We deal with differential conditions for local optimality. The conditions that we derive for inequality constrained problems do not require constraint qualifications and are the broadest conditions based on only first-order and second-order derivatives. A similar result is proved for equality constrained problems, although the necessary conditions require the regularity of the equality constraints.
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11390/734846
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