Mollified derivatives and second-order optimality conditions

Davide La Torre, Giovanni P. Crespi and Matteo Rocca ()

Departmental Working Papers from Department of Economics, Management and Quantitative Methods at Università degli Studi di Milano

Abstract: The class of strongly semicontinuous functions is considered. For these functionsthe notion of mollified derivatives, introduced by Ermoliev, Norkin andWets [8], is extended to the second order. By means of a generalized Taylor'sformula, second order necessary and sufficient conditions are proved forboth unconstrained and constrained optimization. Finally a characterization ofconvex functions is given.

Keywords: Smooth approximations; Nonsmooth optimization; Strong semicontinuity (search for similar items in EconPapers)
Date: 2003-01-01
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Persistent link: https://EconPapers.repec.org/RePEc:mil:wpdepa:2003-10

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