Level proximal subdifferential characterizes variational convexity via local firm nonexpansiveness of proximal mappings and supports local convergence of proximal gradient methods to minimizers for variationally convex functions.
Kreyszig , Introductory Functional Analysis with Applications , Wiley Classics Library, John Wiley & Sons, Inc., New York
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Level proximal subdifferential, variational convexity, and pointwise quadratic approximation
Level proximal subdifferential characterizes variational convexity via local firm nonexpansiveness of proximal mappings and supports local convergence of proximal gradient methods to minimizers for variationally convex functions.