scientific article; zbMATH DE number 7297373

zbMath1466.46073MaRDI QIDQ5144488

Fumioki Wada

Publication date: 18 January 2021

Full work available at URL: https://www.heldermann.de/JCA/JCA28/JCA281/jca28006.htm

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zbMATH Keywords

convex functionsubdifferentialLipschitz continuityconjugate functionLegendre-Fenchel transformFenchel inequality

Mathematics Subject Classification ID

Convex functions and convex programs in convex geometry (52A41) Applications of functional analysis in optimization, convex analysis, mathematical programming, economics (46N10) Duality theory (optimization) (49N15) Convexity of real functions of several variables, generalizations (26B25)

Cites Work

• A characterization of the concept of duality
• Functional analysis, Sobolev spaces and partial differential equations
• Convex functions, monotone operators and differentiability
• On the continuity of the Young-Fenchel transform
• On the Young-Fenchel Transform for Convex Functions
• Proximité et dualité dans un espace hilbertien
• Conjugates and Legendre Transforms of Convex Functions
• Convex Analysis
• On Conjugate Convex Functions
• Fixed-point and Minimax Theorems in Locally Convex Topological Linear Spaces

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