Duality between Fréchet differentiability and strong convexity

DOI10.1007/s11117-010-0105-5zbMath1237.46030OpenAlexW2008088011MaRDI QIDQ655980

Thomas Strömberg

Publication date: 26 January 2012

Published in: Positivity (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11117-010-0105-5

zbMATH Keywords

Fréchet differentiabilityconvex functionGâteaux differentiabilityLegendre-Fenchel transformessential Fréchet differentiabilityessential Gâteaux differentiabilityessential strict convexityessential strong convexity

Mathematics Subject Classification ID

Fréchet and Gateaux differentiability in optimization (49J50) Applications of functional analysis in optimization, convex analysis, mathematical programming, economics (46N10) Derivatives of functions in infinite-dimensional spaces (46G05)

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Cites Work

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• Convex Analysis