Subdifferential of the closed convex hull of a function and integration with nonconvex data in general normed spaces

DOI10.1016/j.jmaa.2012.01.042zbMath1245.49027OpenAlexW2088247928MaRDI QIDQ408281

Michel Volle, Marco A. López

Publication date: 29 March 2012

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2012.01.042

zbMATH Keywords

convex analysis\(\varepsilon \)-subdifferentialclosed-convexificationintegration formulas

Mathematics Subject Classification ID

Nonsmooth analysis (49J52) Convexity of real functions in one variable, generalizations (26A51)

Related Items

The use of the relative interior in integration with nonconvex data ⋮ Integration of the Fenchel subdifferentials revisited ⋮ Nonconvex integration using ϵ-subdifferentials

Cites Work

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• Integration formulas via the Fenchel subdifferential of nonconvex functions
• Regularity conditions for formulae of biconjugate functions
• Lower subdifferentiability and integration
• The \(\varepsilon\)-strategy in variational analysis: illustration with the closed convexification of a function
• On the second conjugate of several convex functions in general normed vector spaces
• On the maximal monotonicity of subdifferential mappings
• Integration of Fenchel Subdifferentials of Epi-Pointed Functions
• What is the Subdifferential of the Closed Convex Hull of a Function?
• Subdifferential calculus without qualification conditions, using approximate subdifferentials: A survey

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