Nonconvex Variational inequalities
Messaoud Bounkhel; Djalel Bounkhel
ESAIM: Control, Optimisation and Calculus of Variations (2010)
- Volume: 11, Issue: 4, page 574-594
- ISSN: 1292-8119
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topBounkhel, Messaoud, and Bounkhel, Djalel. "Inégalités variationnelles non convexes." ESAIM: Control, Optimisation and Calculus of Variations 11.4 (2010): 574-594. <http://eudml.org/doc/90778>.
@article{Bounkhel2010,
abstract = {
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.
},
author = {Bounkhel, Messaoud, Bounkhel, Djalel},
journal = {ESAIM: Control, Optimisation and Calculus of Variations},
keywords = {Ensembles uniformément réguliers; problèmes variationnels non convexes.},
language = {fre},
month = {3},
number = {4},
pages = {574-594},
publisher = {EDP Sciences},
title = {Inégalités variationnelles non convexes},
url = {http://eudml.org/doc/90778},
volume = {11},
year = {2010},
}
TY - JOUR
AU - Bounkhel, Messaoud
AU - Bounkhel, Djalel
TI - Inégalités variationnelles non convexes
JO - ESAIM: Control, Optimisation and Calculus of Variations
DA - 2010/3//
PB - EDP Sciences
VL - 11
IS - 4
SP - 574
EP - 594
AB -
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.
LA - fre
KW - Ensembles uniformément réguliers; problèmes variationnels non convexes.
UR - http://eudml.org/doc/90778
ER -
References
top- M. Bounkhel, L. Tadj and A. Hamdi, Iterative Schemes to Solve Non convex Variational Problems. J. Ineq. Pure Appl. Math.4 (2003), Article 14.
- M. Bounkhel and L. Thibault, On various notions of regularity of sets in non smooth analysis. Nonlinear Anal. Theory Methods Appl.48 (2002) 223–246.
- M. Bounkhel and L. Thibault, Further characterizations of regular sets in Hilbert spaces and their applications to nonconvex sweeping process. Preprint, Centro de Modelamiento Matematico (CMM), Universidad de Chile (2000). Submitted to J. Nonlinear Convex Anal.
- C. Castaing and M. Valadier, Convex Analysis and Measurable Multifunctions. Lect. Notes Math.580 (1977).
- Y.J. Cho, Z. He, Y.F. Cao and N.J. Huang, On the generalized strongly nonlinear implicit quasivariational inequalities for set-valued mappings. J. Ineq. Pure Appl. Math.1 (2000), Article 15.
- F.H. Clarke, Optimization and Nonsmooth Analysis. Wiley-Interscience, New York (1983).
- F.H. Clarke, R.J. Stern and P.R. Wolenski, Proximal smoothness and the lower C2-property. J. Convex Anal.2 (1995) 117–144.
- F.H. Clarke, Yu.S. Ledyaev, R.J. Stern and P.R. Wolenski, Nonsmooth Analysis and Control Theory. Springer-Verlag, New York (1998).
- M.A. Noor, General algorithm for variational inequalities. J. Optim. Theory Appl.73 (1992) 409–413.
- P.D. Panagiotopoulos and G.E. Stavroulakis, New types of variational principles based on the notion of quasidifferentiability. Acta Mech.94 (1992) 171–194.
- R.A. Poliquin, R.T. Rockafellar and L. Thibault, Local differentiability of distance functions. Trans. Amer. Math. Soc.352 (2000) 5231–5249.
- R.T. Rockafellar and R. Wets, Variational Analysis. Springer-Verlag, Berlin (1998).
- G. Stampacchia, Formes bilin 'eaires coercives sur les ensembles convexes. C. R. Acad. Sci. Paris258 (1964) 4413–4416.
- L.C. Zeng, On a general projection algorithm for variational inequalities. J. Optim. Theory Appl.97 (1998) 229–235.
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