Direct and inverse addition in convex analysis: The continuous case

DOI10.1016/0022-247X(92)90102-JzbMath0767.49013OpenAlexW2060197782MaRDI QIDQ1206882

Alberto Seeger

Publication date: 1 April 1993

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0022-247x(92)90102-j

zbMATH Keywords

multifunctionpolar setsubdifferentialssupport functionsconjugate functionsdirectional derivativesduality relationsinf-convolutiondirect sumdirect additioninverse additioninverse sum

Mathematics Subject Classification ID

Nonsmooth analysis (49J52) Set-valued set functions and measures; integration of set-valued functions; measurable selections (28B20) Duality theory (optimization) (49N15)

Cites Work

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• Direct and inverse addition in convex analysis and applications
• Complément de Schur et sous-différentiel du second ordre d'une fonction convexe
• Measurable dependence of convex sets and functions on parameters
• Calculus rules on a new set—valued second order derivative for convex functions
• The Second-Order Subdifferential and the Dupin Indicatrices of a Non-Differentiable Convex Function
• CONVEX OPERATORS
• Approximating a Second-Order Directional Derivative for Nonsmooth Convex Functions
• The Existence of Probability Measures with Given Marginals
• Some Means of Convex Bodies

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