A Brøndsted–Rockafellar Theorem for Diagonal Subdifferential Operators

DOI10.1007/978-1-4614-7621-4_6zbMath1290.58009OpenAlexW2402160MaRDI QIDQ5746434

Ernö Robert Csetnek, Radu Ioan Boţ

Publication date: 18 February 2014

Published in: Springer Proceedings in Mathematics & Statistics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-1-4614-7621-4_6

zbMATH Keywords

Ekeland variational principlemonotone bifunctionsubdifferential calculusdiagonal subdifferential operatorBrønsted-Rockafellar theorem

Mathematics Subject Classification ID

Convex programming (90C25) Nonconvex programming, global optimization (90C26) Variational inequalities (49J40) Monotone operators and generalizations (47H05) Variational principles in infinite-dimensional spaces (58E30) Applications of functional analysis in optimization, convex analysis, mathematical programming, economics (46N10)

Related Items (1)

Ekeland's principle for cyclically antimonotone equilibrium problems

Cites Work

• On diagonal subdifferential operators in nonreflexive Banach spaces
• Local boundedness of monotone bifunctions
• A note on epsilon-subgradients and maximal monotonicity
• Convex functions, monotone operators and differentiability.
• Existence of equilibria via Ekeland's principle
• From Hahn--Banach to monotonicity
• Approaching the maximal monotonicity of bifunctions via representative functions
• Maximal monotonicity of bifunctions
• Variational Analysis
• Bronsted-Rockafellar property and maximality of monotone operators representable by convex functions in non-reflexive Banach spaces
• On the Subdifferentiability of Convex Functions
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