Geodesic
Characterization of Metric Regularity of Subdifferentials
Journal of convex analysis, Tome 15 (2008) no. 2, pp. 365-38

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

We study regularity properties of the subdifferential of proper lower semicontinuous convex functions in Hilbert spaces. More precisely, we investigate the metric regularity and subregularity, the strong regularity and subregularity of such a subdifferential. We characterize each of these properties in terms of a growth condition involving the function.
Classification : 49J52, 49J53
Mots-clés : Set-valued mapping, subdifferential, metric regularity, quadratic growth condition 
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     author = {F. J. Arag\'on Artacho and M. H. Geoffroy},
     title = {Characterization of {Metric} {Regularity} of {Subdifferentials}},
     journal = {Journal of convex analysis},
     pages = {365--38},
     publisher = {mathdoc},
     volume = {15},
     number = {2},
     year = {2008},
     url = {http://geodesic.mathdoc.fr/item/JCA_2008_15_2_JCA_2008_15_2_a12/}
}
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F. J. Aragón Artacho; M. H. Geoffroy. Characterization of Metric Regularity of Subdifferentials. Journal of convex analysis, Tome 15 (2008) no. 2, pp. 365-38. http://geodesic.mathdoc.fr/item/JCA_2008_15_2_JCA_2008_15_2_a12/