| Issue |
ESAIM: COCV
Volume 11, Number 4, October 2005
|
|
|---|---|---|
| Page(s) | 574 - 594 | |
| DOI | https://doi.org/10.1051/cocv:2005019 | |
| Published online | 15 September 2005 | |
Inégalités variationnelles non convexes
Nonconvex Variational inequalities
1
King Saud University, College of Science, Department of Mathematics, PO Box 2455, Riyadh 11451, Saudi Arabia;
bounkhel@ksu.edu.sa
2
University of Jijel, Department of Mathematics, BP 98, Ouled Aissa, Jijel,
Algeria;
bounkheldjalel@yahoo.fr
Reçu :
13
Février
2004
Révisé :
30
Novembre
2004
Dans cet article nous proposons différents algorithmes pour résoudre une nouvelle classe de problèmes variationels non convexes. Cette classe généralise plusieurs types d'inégalités variationnelles (Cho et al. (2000), Noor (1992), Zeng (1998), Stampacchia (1964)) du cas convexe au cas non convexe. La sensibilité de cette classe de problèmes variationnels non convexes a été aussi étudiée.
Abstract
In this paper we propose several algorithms of the projection type to solve a new class of nonconvex variational problems. This class generalizes many types of variational inequalities (Cho et al. (2000), Noor (1992), Zeng (1998), Stampacchia (1964)) from the convex case to the nonconvex case. The sensitivity of this class of nonconvex variational problems is also studied.
Classification Mathématique : 58E35 / 49J40 / 49J53 / 49J52
Key words: Ensembles uniformément réguliers / problèmes variationnels non convexes.
© EDP Sciences, SMAI, 2005
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