Inégalités variationnelles non convexes
ESAIM: Control, Optimisation and Calculus of Variations, Tome 11 (2005) no. 4, pp. 574-594.

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.

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.

DOI : 10.1051/cocv:2005019
Classification : 58E35, 49J40, 49J53, 49J52
Mots clés : ensembles uniformément réguliers, problèmes variationnels non convexes
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Bounkhel, Messaoud; Bounkhel, Djalel. Inégalités variationnelles non convexes. ESAIM: Control, Optimisation and Calculus of Variations, Tome 11 (2005) no. 4, pp. 574-594. doi : 10.1051/cocv:2005019. http://www.numdam.org/articles/10.1051/cocv:2005019/

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