Acta Mathematica Vietnamica
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ON THE ROCKAFELLAR DERIVATIVE OF MARGINAL FUNCTIONS AND APPLICATIONS
DO VAN LUUpp. 225-236
Abstract
In this paper, some evaluations of the directional Rockafellar derivative of a function defined by $\varphi_F(x)=\mathrm{inf}\{f(x,y)\,|\, y\in F(x)\}$ via the directional Clarke and Rockafellar derivative of $f$ are shown. These evaluations are applied to find necessary optimality conditions for generalized optimal control problems governed by hemivariational inequalities.