Subdifferentials with autoconjugate Fitzpatrick function

DOI10.1007/s11228-011-0174-zzbMath1226.47052OpenAlexW1981607615MaRDI QIDQ645070

Marco Rocco

Publication date: 8 November 2011

Published in: Set-Valued and Variational Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11228-011-0174-z

zbMATH Keywords

convex functionmonotone operatorsubdifferentialFitzpatrick functionautoconjugate representation

Mathematics Subject Classification ID

Monotone operators and generalizations (47H05) Applications of operator theory in optimization, convex analysis, mathematical programming, economics (47N10) Nonlinear functional analysis (46T99)

Cites Work

• Autoconjugate representers for linear monotone operators
• Fitzpatrick functions, cyclic monotonicity and Rockafellar's antiderivative
• Monotone operators representable by l.s.c. convex functions
• Maximal monotone operators, convex functions and a special family of enlargements
• The relevance of convex analysis for the study of monotonicity
• Set-valued mappings and enlargement of monotone operators.
• On the representation of approximate subdifferentials for a class of generalized convex functions
• On the maximal monotonicity of subdifferential mappings
• Opérateurs monotones non linéaires dans les espaces de Banach non réflexifs. (Nonlinear monotone operators on nonreflexive Banach spaces)
• The kernel average for two convex functions and its application to the extension and representation of monotone operators
• Maximal monotone operators with a unique extension to the bidual
• Autoconjugate functions and representations of monotone operators
• Some problems about the representation of monotone operators by convex functions
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