All maximal monotone operators in a Banach space are of type FPV

DOI10.1007/s11228-014-0275-6zbMath1440.47041OpenAlexW2021899576MaRDI QIDQ741362

D. Kharzeev

Publication date: 11 September 2014

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

Full work available at URL: https://doi.org/10.1007/s11228-014-0275-6

zbMATH Keywords

maximal monotone operatorsrepresentative functionsFPV propertysum theorems

Mathematics Subject Classification ID

Monotone operators and generalizations (47H05) Set-valued and variational analysis (49J53) Set-valued operators (47H04) Applications of functional analysis in optimization, convex analysis, mathematical programming, economics (46N10)

Related Items (3)

The Rockafellar conjecture and type (FPV) ⋮ Representative functions, variational convergence and almost convexity ⋮ On the FPV property, monotone operator structure and the monotone polar of representable monotone sets

Cites Work

• Second order cones for maximal monotone operators via representative functions
• 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
• From Hahn--Banach to monotonicity
• Recent progress on Monotone Operator Theory
• Maximal monotonicity, conjugation and the duality product in non-reflexive Banach spaces
• Maximal monotonicity, conjugation and the duality product
• Minimal convex functions bounded below by the duality product
• Level Sets and Continuity of Conjugate Convex Functions
• On the Maximality of Sums of Nonlinear Monotone Operators
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