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Second order optimality conditions for differentiable functions

Davide La Torre, Giovanni Crespi and Matteo Rocca ()

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

Abstract: In this paper some second order necessary and sufficient conditions are given for unconstrained and constrained optimization problems involving C1 functions. A generalized derivative is obtained by approximation with smooth functions and it collapses to Clarke's definition when C(1,1) data are assumed. Furthermore a generalized Taylor's formula is used to prove the conditions.

Date: 2002-01-01
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