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ESAIM: Proc., 2007, Vol. 20, pp. 170-194
DOI: 10.1051/proc:072016
Glimpses upon quasiconvex analysis
Jean-Paul PenotLaboratoire de mathématiques appliquées CNRS UMR 5142, Faculté des sciences, BP 1155, 64013 Pau Cédex France
(Published online: 13 October 2007)
Abstract
We review various sorts of generalized convexity and we raise
some questions about them. We stress the importance of some
special subclasses of quasiconvex functions.
Résumé
Nous passons en revue quelques notions de convexité généralisée. Nous tentons de les relier
et nous soulevons quelques questions. Nous soulignons
l'importance de quelques classes particulières de fonctions
quasiconvexes.
Mathematics Subject Classification. 26B25, 49N15, 90C26
Key words: normal cone, pseudoconvex function, quasiconvex function, transconvex function, truncavex function, subdifferential, sublevel convolution.
© EDP Sciences, ESAIM 2007
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