Generalized Convexity, Generalized Monotonicity and Nonsmooth Analysis
Nicolas Hadjisavvas · Kluwer Academic Publishers eBooks · 2006
This chapter is an introduction to generalized monotone multivalued maps and their relation to generalized convex functions through subdifferential theory. In particular, it contains the characterization of various types of generalized convex functions through properties of their subdifferentials. Also, some recent results on properly quasimonotone maps, maximal pseudomonotone maps, and a new “quasiconvex” subdifferential are presented.