Fitzpatrick functions, cyclic monotonicity and Rockafellar's antiderivative

DOI10.1016/j.na.2006.01.013zbMath1119.47050OpenAlexW2160378565WikidataQ56935632 ScholiaQ56935632MaRDI QIDQ867841

Heinz H. Bauschke, Sedi Bartz, Simeon Reich, Jonathan M. Borwein, Shawn Xianfu Wang

Publication date: 19 February 2007

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.na.2006.01.013

zbMATH Keywords

convex function maximal monotone operator subdifferential operator Fenchel conjugate Fitzpatrick function cyclically monotone operator sublinear function

Mathematics Subject Classification ID

Convex programming (90C25) Monotone operators and generalizations (47H05) Set-valued and variational analysis (49J53) Convex functions and convex programs in convex geometry (52A41) Applications of operator theory in optimization, convex analysis, mathematical programming, economics (47N10)

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Cites Work