Geodesic
Maximality is Nothing But Continuity
Journal of convex analysis, Tome 17 (2010) no. 2, pp. 521-534

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

We show the connexions between the maximality of a monotone set-valued mapping and some continuity conditions on the domain of the mapping and on the mapping itself. We provide an original and simple proof of the famous characterization of maximal monotone mapping of Minty. Some words are said on monotone variational and generalized equilibrium problems.
Mots-clés : Monotonicity, maximal monotonicity, variational inequality problems, generalized equilibrium problems 
@article{JCA_2010_17_2_JCA_2010_17_2_a9,
     author = {J.-P. Crouzeix and E. Oca\~na Anaya},
     title = {Maximality is {Nothing} {But} {Continuity}},
     journal = {Journal of convex analysis},
     pages = {521--534},
     publisher = {mathdoc},
     volume = {17},
     number = {2},
     year = {2010},
     url = {http://geodesic.mathdoc.fr/item/JCA_2010_17_2_JCA_2010_17_2_a9/}
}
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J.-P. Crouzeix; E. Ocaña Anaya. Maximality is Nothing But Continuity. Journal of convex analysis, Tome 17 (2010) no. 2, pp. 521-534. http://geodesic.mathdoc.fr/item/JCA_2010_17_2_JCA_2010_17_2_a9/