In this paper second-order necessary optimality conditions for nonsmooth vector optimization problems are given by smooth approximations. We extend to the vector case the approach introduced by Ermoliev, Norkin and Wets to define generalized derivatives for discontinuous functions as limit of the classical derivatives of regular functions.
Second order optimality conditions for nonsmooth multiobjective optimization problems / G.P. Crespi, D. La Torre, M. Rocca - In: Generalized convexity, generalized monotonicity and applications / Andrew Eberhard, Nicolas Hadjisavvas, Dinh The Luc. - New York : Springer, 2005. - ISBN 0387236384. - pp. 213-228
Second order optimality conditions for nonsmooth multiobjective optimization problems
D. La TorreSecondo
;
2005
Abstract
In this paper second-order necessary optimality conditions for nonsmooth vector optimization problems are given by smooth approximations. We extend to the vector case the approach introduced by Ermoliev, Norkin and Wets to define generalized derivatives for discontinuous functions as limit of the classical derivatives of regular functions.
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