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Journal Articles Mathematical Programming Year : 2009

A geometrical insight on pseudoconvexity and pseudomonotonicity

Abstract

Generalised convexity is revisited from a geometrical point of view. A substitute to the subdifferential is proposed. Then generalised monotonicity is considered. A representation of generalised monotone maps allows to obtain a symmetry between maps and their inverses. Finally, maximality of generalised monotone maps is analysed.
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Dates and versions

hal-00678475 , version 1 (13-03-2012)

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Jean-Pierre Crouzeix, Andrew Eberhard, Daniel Ralph. A geometrical insight on pseudoconvexity and pseudomonotonicity. Mathematical Programming, 2009, 123 (1), pp.Pages 61-83. ⟨10.1007/s10107-009-0324-3⟩. ⟨hal-00678475⟩
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