A generalization of the Fenchel-Moreau theorem

DOI10.3792/PJAA.59.178zbMath0522.49009OpenAlexW2076126017MaRDI QIDQ1056049

Naoto Komuro, Shozo Koshi

Publication date: 1983

Published in: Proceedings of the Japan Academy. Series A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3792/pjaa.59.178

zbMATH Keywords

Riesz spaceFenchel-Moreau theoremconvex operator

Mathematics Subject Classification ID

Convex programming (90C25) Methods involving semicontinuity and convergence; relaxation (49J45) Duality theory (optimization) (49N15) Ordered topological linear spaces, vector lattices (46A40)

Related Items (3)

A Fenchel-Moreau theorem for $\bar L^0$-valued functions ⋮ Convex operators and convex integrands ⋮ The Fenchel-Moreau Theorem for Set Functions

Cites Work

• A duality theorem for a convex programming problem in order complete vector lattices
• CONVEX OPERATORS
• Subdifferentiability of Convex Functions with Values in an Ordered Vector Space.
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