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

The classical subdifferential calculus is a useful tool in order to estabilish characterizations of convex functions and optimality conditions; but it becomes usless when one thinks to study perturbed convex functions. In this paper by using Sobolev space theory we give some characterizations of...