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Issue ESAIM: Proc.
Volume 20, 2007
RFMAO 05 - Rencontres Franco-Marocaines en Approximation et Optimisation 2005
Page(s) 138 - 148
DOI http://dx.doi.org/10.1051/proc:072013
Published online 13 October 2007

ESAIM: Proc., 2007, Vol. 20, pp. 138-148
DOI: 10.1051/proc:072013

On pseudoconvex functions and applications to global optimization

A. Hassouni and A. Jaddar

Département de mathématiques et d'Informatique, Faculté des Sciences, B.P. 1014, Rue Ibn Battouta, Rabat, Maroc

hassouni@fsr.ac.ma
jaddar@fsr.ac.ma

(Published online: 13 October 2007)

Abstract
In this paper, we characterize pseudoconvex functions using an abstract subdifferential. As applications, we also characterize maxima of pseudoconvex functions, and we study some fractional and quadratic optimization problems.


Résumé
Nous caractérisons des fonctions pseudoconvexes en utilisant un sous différentiel abstrait. Comme applications, nous caractérisons également des maximums des fonctions pseudoconvexes , et nous étudions quelques problèmes d'optimisation fractionnaires et quadratiques .


Key words:


© EDP Sciences, ESAIM 2007


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