Generalized Convexity and Optimality Conditions in Scalar and Vector Optimization

In this chapter the role of generalized convex functions in optimization is stressed. A particular attention is devoted to local-global properties, to optimality of stationary points and to sufficiency of first order necessary optimality conditions for scalar and vector problems. Desite of the numerous classes of generalized convex functions suggested in these last fifty years, we have limited ourselves to introduce and stydy those classes of scalar and vector functions which are more used in the literature.