Minimal antiderivatives and monotonicity

DOI10.1016/j.na.2010.08.015zbMath1251.47046OpenAlexW1975422714MaRDI QIDQ603017

Sedi Bartz, Simeon Reich

Publication date: 5 November 2010

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.2010.08.015

zbMATH Keywords

convex functionmaximal monotone operatorsubdifferential operatorFitzpatrick functioncyclically monotone operatorminimal antiderivative

Mathematics Subject Classification ID

Convex programming (90C25) Monotone operators and generalizations (47H05) Convex functions and convex programs in convex geometry (52A41)

Related Items

Abstract convex optimal antiderivatives ⋮ On cyclic and \(n\)-cyclic monotonicity of bifunctions ⋮ Optimal pricing for optimal transport ⋮ Representation of generalized monotone multimaps

Cites Work

• Fitzpatrick functions, cyclic monotonicity and Rockafellar's antiderivative
• Examples of discontinuous maximal monotone linear operators and the solution to a recent problem posed by B.F. Svaiter
• Maximal monotone operators, convex functions and a special family of enlargements
• The relevance of convex analysis for the study of monotonicity
• On the maximal monotonicity of subdifferential mappings
• Primal-Dual Symmetric Intrinsic Methods for Finding Antiderivatives of Cyclically Monotone Operators
• A new proof for Rockafellar’s characterization of maximal monotone operators
• Maximality of sums of two maximal monotone operators in general Banach space
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