The Hahn–Banach–Lagrange theorem

DOI10.1080/02331930600819969zbMath1128.46004OpenAlexW2080442720MaRDI QIDQ5758213

Stephen Simons

Publication date: 3 September 2007

Published in: Optimization (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/02331930600819969

zbMATH Keywords

Lagrange multipliersHahn-Banach theoremconvex functionsmonotone operatorssublinear functionalsFenchel-Moreau duality

Mathematics Subject Classification ID

Optimality conditions and duality in mathematical programming (90C46) Existence of solutions for minimax problems (49J35) Theorems of Hahn-Banach type; extension and lifting of functionals and operators (46A22) Applications of functional analysis in optimization, convex analysis, mathematical programming, economics (46N10) Applications of operator theory in optimization, convex analysis, mathematical programming, economics (47N10)

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Cites Work

• A new version of the Hahn-Banach theorem
• Necessary and sufficient conditions for stable conjugate duality
• Extension of Fenchel's duality theorem for convex functions
• Systems of Inequalities Involving Convex Functions
• Minimal sublinear functionals
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