An explicit example of a maximal 3-cyclically monotone operator with bizarre properties

DOI10.1016/j.na.2007.08.059zbMath1170.47033OpenAlexW2060336998MaRDI QIDQ949714

Heinz H. Bauschke, Shawn Xianfu Wang

Publication date: 21 October 2008

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.2007.08.059

zbMATH Keywords

normal conemaximal monotone operatortangent conesubdifferential operatorcyclically monotone operator\(n\)-cyclically monotone operator

Mathematics Subject Classification ID

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

Related Items

An answer to S. Simons' question on the maximal monotonicity of the sum of a maximal monotone linear operator and a normal cone operator ⋮ On the construction of maximal $p$-cyclically monotone operators ⋮ On cyclic and \(n\)-cyclic monotonicity of bifunctions ⋮ A remark on the Brézis–Browder theorem in finite dimensional spaces ⋮ Remarks on p-cyclically monotone operators

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• On the maximal domain of a monotone function
• Fitzpatrick functions, cyclic monotonicity and Rockafellar's antiderivative
• Minimax monotonicity
• A convex-analytical approach to extension results for \(n\)-cyclically monotone operators
• On the virtual convexity of the domain and range of a nonlinear maximal monotone operator
• On the maximal monotonicity of subdifferential mappings
• Fitzpatrick Functions and Continuous Linear Monotone Operators
• Variational Analysis

This page was built for publication: An explicit example of a maximal 3-cyclically monotone operator with bizarre properties