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.
Mots-clés : ensembles uniformément réguliers, problèmes variationnels non convexes
@article{COCV_2005__11_4_574_0,
author = {Bounkhel, Messaoud and Bounkhel, Djalel},
title = {In\'egalit\'es variationnelles non convexes},
journal = {ESAIM: Control, Optimisation and Calculus of Variations},
pages = {574--594},
publisher = {EDP-Sciences},
volume = {11},
number = {4},
year = {2005},
doi = {10.1051/cocv:2005019},
mrnumber = {2167875},
zbl = {1085.49007},
language = {fr},
url = {http://archive.numdam.org/articles/10.1051/cocv:2005019/}
}
TY - JOUR AU - Bounkhel, Messaoud AU - Bounkhel, Djalel TI - Inégalités variationnelles non convexes JO - ESAIM: Control, Optimisation and Calculus of Variations PY - 2005 SP - 574 EP - 594 VL - 11 IS - 4 PB - EDP-Sciences UR - http://archive.numdam.org/articles/10.1051/cocv:2005019/ DO - 10.1051/cocv:2005019 LA - fr ID - COCV_2005__11_4_574_0 ER -
%0 Journal Article %A Bounkhel, Messaoud %A Bounkhel, Djalel %T Inégalités variationnelles non convexes %J ESAIM: Control, Optimisation and Calculus of Variations %D 2005 %P 574-594 %V 11 %N 4 %I EDP-Sciences %U http://archive.numdam.org/articles/10.1051/cocv:2005019/ %R 10.1051/cocv:2005019 %G fr %F COCV_2005__11_4_574_0
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://archive.numdam.org/articles/10.1051/cocv:2005019/
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