A necessary second-order optimality condition in nonsmooth mathematical programming

Authors:
Marco Castellani
Affiliations:
University of Pisa, Department of Mathematics, Via Buonarroti, 2, 51627 Pisa, Italy
Venue:
Operations Research Letters
Year:
1996

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A generalized second-order derivative in nonsmooth optimization

SIAM Journal on Control and Optimization

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Abstract

Generalized second-order directional derivatives for nonsmooth real-valued functions are studied and their connections with second-order variational sets are investigated. A necessary second-order optimality condition for problems with inequality constraints is obtained.