Geodesic
Quasimonotone Variational Inequalities and Quasiconvex Programming: Qualitative Stability
Journal of convex analysis, Tome 15 (2008) no. 3, pp. 459-472

Voir la notice de l'article provenant de la source Heldermann Verlag

We consider quasimonotone Stampacchia variational inequalities subject to perturbations, both on the set-valued operator and on the constraint set. We establish continuity properties, upper semicontinuity and lower semicontinuity, of the (possibly set-valued) solution map. Application to quasiconvex optimization is given throughout the concept of normal operator.
Classification : 49J40, 49K40, 49J52
Mots-clés : Quasimonotone variational inequality, stability, upper semicontinuity, lower semicontinuity, quasiconvex programming, Mosco convergence 
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     author = {M. Ait Mansour and D. Aussel},
     title = {Quasimonotone {Variational} {Inequalities} and {Quasiconvex} {Programming:} {Qualitative} {Stability}},
     journal = {Journal of convex analysis},
     pages = {459--472},
     publisher = {mathdoc},
     volume = {15},
     number = {3},
     year = {2008},
     url = {http://geodesic.mathdoc.fr/item/JCA_2008_15_3_JCA_2008_15_3_a1/}
}
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M. Ait Mansour; D. Aussel. Quasimonotone Variational Inequalities and Quasiconvex Programming: Qualitative Stability. Journal of convex analysis, Tome 15 (2008) no. 3, pp. 459-472. http://geodesic.mathdoc.fr/item/JCA_2008_15_3_JCA_2008_15_3_a1/