A geometrical insight on pseudoconvexity and pseudomonotonicity
Generalised convexity is revisited from a geometric point of view. A substitute to the subdifferential is proposed. Then generalised monotonicity is considered. A representation of generalised monotone maps allows us to obtain a symmetry between maps and their inverses. Finally, maximality of generalised monotone maps is analysed.
generalised convexity generalised monotonicity maximality cyclic properties revealed preferences axioms