| Issue |
ESAIM: Proc.
Volume 20, 2007
RFMAO 05 - Rencontres Franco-Marocaines en Approximation et Optimisation 2005
|
|
|---|---|---|
| Page(s) | 170 - 194 | |
| DOI | https://doi.org/10.1051/proc:072016 | |
| Published online | 13 October 2007 | |
Glimpses upon quasiconvex analysis
Laboratoire de mathématiques appliquées CNRS UMR 5142, Faculté des sciences, BP 1155, 64013 Pau Cédex France
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. Dedicated to Marc Attéia
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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