A geometrical insight on pseudoconvexity and pseudomonotonicity

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• 作者：Jean-Pierre Crouzeix ; Andrew Eberhard and Daniel Ralph
• 关键词：Generalised convexity ; Generalised monotonicity ; Maximality ; Cyclic properties ; Revealed preferences axioms
• 刊名：Mathematical Programming
• 出版年：2010
• 出版时间：May, 2010
• 年：2010
• 卷：123
• 期：1
• 页码：61-83
• 全文大小：257.3 KB

文摘

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.