Representative functions, variational convergence and almost convexity

DOI10.1007/s11228-024-00708-4OpenAlexW4391616419MaRDI QIDQ6123432

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Publication date: 4 March 2024

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

Full work available at URL: https://doi.org/10.1007/s11228-024-00708-4

zbMATH Keywords

maximal monotone operatorsrepresentative functionsalmost convexityrecession operators

Mathematics Subject Classification ID

Monotone operators and generalizations (47H05) Set-valued and variational analysis (49J53) Set-valued operators (47H04) Applications of functional analysis in optimization, convex analysis, mathematical programming, economics (46N10)

Cites Work

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• All maximal monotone operators in a Banach space are of type FPV
• Maximal monotonicity criteria for the composition and the sum under weak interiority conditions
• Convex analysis can be helpful for the asymptotic analysis of monotone operators
• Monotone operators representable by l.s.c. convex functions
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• Structure theory for maximally monotone operators with points of continuity
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• Graphical convergence of sums of monotone mappings
• Continuity of the Legendre–Fenchel transform for some variational convergences
• Bounded convergence for perturbed minimization problems
• Generalized sums of monotone operators
• Level Sets and Continuity of Conjugate Convex Functions
• Convex Analysis

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