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• W1511503348 startingPage "1805" @default.
• W1511503348 abstract "The class of prox-regular functions covers all l.s.c., proper, convex functions, lower-$mathcal {C}^{2}$ functions and strongly amenable functions, hence a large core of functions of interest in variational analysis and optimization. The subgradient mappings associated with prox-regular functions have unusually rich properties, which are brought to light here through the study of the associated Moreau envelope functions and proximal mappings. Connections are made between second-order epi-derivatives of the functions and proto-derivatives of their subdifferentials. Conditions are identified under which the Moreau envelope functions are convex or strongly convex, even if the given functions are not." @default.
• W1511503348 created "2016-06-24" @default.
• W1511503348 creator A5043414034 @default.
• W1511503348 creator A5046903273 @default.
• W1511503348 date "1996-01-01" @default.
• W1511503348 modified "2023-10-18" @default.
• W1511503348 title "Prox-regular functions in variational analysis" @default.
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• W1511503348 doi "https://doi.org/10.1090/s0002-9947-96-01544-9" @default.
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