Maximality of sums of two maximal monotone operators in general Banach space

DOI10.1090/S0002-9939-07-08960-5zbMath1130.47031OpenAlexW1600479821WikidataQ56935638 ScholiaQ56935638MaRDI QIDQ5423947

Jonathan M. Borwein

Publication date: 1 November 2007

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

Full work available at URL: https://doi.org/10.1090/s0002-9939-07-08960-5

zbMATH Keywords

maximal monotone operatorFenchel dualityinfimal convolutionFitzpatrick functionsum of operatorsPenot function

Mathematics Subject Classification ID

Monotone operators and generalizations (47H05) Set-valued operators (47H04) Theorems of Hahn-Banach type; extension and lifting of functionals and operators (46A22) Applications of functional analysis in optimization, convex analysis, mathematical programming, economics (46N10)

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Cites Work

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• Minimax monotonicity
• Convex analysis and nonlinear optimization. Theory and examples
• The relevance of convex analysis for the study of monotonicity
• Some properties of maximal monotone operators on nonreflexive Banach spaces
• Techniques of variational analysis
• Maximal monotonicity, conjugation and the duality product
• Maximality of sums of two maximal monotone operators
• On the Maximality of Sums of Nonlinear Monotone Operators

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