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Abstract
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.
Author information
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FJ
Francisco Javier Aragón Artacho
Dept. of Statistics and Operations Research, University of Alicante, 03071 Alicante, Spain
F. J. Aragón Artacho, M. H. Geoffroy. “Characterization of Metric Regularity of Subdifferentials.” Journal of Convex Analysis 15 (2008), No. 2, 365–380.