The Rockafellar conjecture and type (FPV)

DOI10.1007/s11228-016-0384-5zbMath1440.47040OpenAlexW2510699216WikidataQ57917785 ScholiaQ57917785MaRDI QIDQ330315

Radu Ioan Boţ, Orestes Bueno, Stephen Simons

Publication date: 25 October 2016

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

Full work available at URL: https://doi.org/10.1007/s11228-016-0384-5

zbMATH Keywords

normal conemaximal monotonicityFenchel conjugateRockafellar's sum conjecture

Mathematics Subject Classification ID

Nonsmooth analysis (49J52) Monotone operators and generalizations (47H05)

Cites Work

• All maximal monotone operators in a Banach space are of type FPV
• Regular maximal monotone operators
• Remarks on subgradients and \(\varepsilon\)-subgradients
• Bounded approximants to monotone operators on Banach spaces
• Some properties of maximal monotone operators on nonreflexive Banach spaces
• From Hahn--Banach to monotonicity
• A simple proof of the sum formula
• On the Maximality of Sums of Nonlinear Monotone Operators

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