Many definitions of second order generalized derivatives have been introduced to obtain optimality conditions for optimization problems involving C(1,1) data. The aim of this paper is to show some relations among these definitions and to study necessary and sufficient optimality conditions for...

In this work we provide a characterization of C1,1 functions on Rn (that is,diferentiable with locally Lipschitz partial derivatives) by means of second directional divided differences. In particular, we prove that the class of C1,1 functions is equivalent to the class of functions with bounded...