In this paper some second order necessary and sucient conditions aregiven for unconstrained and constrained optimization problems involving C1functions. A generalized derivative is obtained by approximation with smoothfunctions and it collapses to Clarke's definition when C(1,1) data are...

In this paper second-order 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...

Directional derivatives are the ideal tool to model simultaneous shifts of the instruments of economic policy. Provided the equilibrium solution of an oligolistic model are differentiable with respect to the parameter, such a problem can be easily solved considering shift in single instruments,...

D. V. Luu and P. T. Kien propose in Soochow J. Math. 33 (2007), 17-31, higher-order conditions for strict efficiency of vector optimization problems based on the derivatives introduced by I. Ginchev in Optimization 51 (2002), 47-72. These derivatives are defined for scalar functions and in their...