Minimal convex functions bounded below by the duality product

DOI10.1090/S0002-9939-07-09176-9zbMath1133.47040WikidataQ57836369 ScholiaQ57836369MaRDI QIDQ5438457

Juan-Enrique Martinez-Legaz, Benar Fux Svaiter

Publication date: 23 January 2008

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

zbMATH Keywords

reflexive Banach spacesmaximal monotone operatorconvex functionsminimal element

Mathematics Subject Classification ID

Monotone operators and generalizations (47H05) Convex functions and convex programs in convex geometry (52A41) Convexity of real functions of several variables, generalizations (26B25)

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Cites Work

• 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
• Fixed points in the family of convex representations of a maximal monotone operator
• Fenchel duality, Fitzpatrick functions and the Kirszbraun–Valentine extension theorem
• Maximal monotonicity, conjugation and the duality product
• A new proof for Rockafellar’s characterization of maximal monotone operators
• Enlargements and sums of monotone operators
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