First–order cone apporximations and necessary optimality conditions
Marco Castellani, M. Pappalardo · Optimization · 1995
In [5] it has been developed a general scheme which gives an unifying treatment for the use of generalized first-order cone approximations in establishing necessary optimality conditions. In this paper we go insight in this study and we show how to deduce new and more general necessary optimality conditions both in the case of constraints of abstract type or of inequality type. A first proposal for applying these results to duality theory is presented