Characterization of Metric Regularity of Subdifferentials
Francisco J. Aragón Artacho, Michel Geoffroy · Journal of convex analysis · 2008
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.