A geometrical insight on pseudoconvexity and pseudomonotonicity

作者：Crouzeix Jean Pierre^*; Eberhard Andrew; Ralph Daniel

来源：Mathematical Programming, 2010, 123(1): 61-83.

DOI：10.1007/s10107-009-0324-3

• Generalised convexity
• Generalised monotonicity
• Maximality
• Cyclic properties
• Revealed preferences axioms

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.

• 出版日期2010-5