A note on convex cones and constraint qualifications in infinite- dimensional vector spaces

DOI10.1007/BF00934771zbMath0458.90085OpenAlexW2011928605MaRDI QIDQ1151835

Victor Klee

Publication date: 1982

Published in: Journal of Optimization Theory and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf00934771

zbMATH Keywords

Lagrange multipliersconvex conesKarush-Kuhn-Tucker conditionsconstraint qualificationstopological vector spacebarreled spacesinfinite-dimensional vector spaces

Mathematics Subject Classification ID

Convex programming (90C25) Programming in abstract spaces (90C48) General theory of locally convex spaces (46A03) Barrelled spaces, bornological spaces (46A08)

Related Items (1)

Generalizations of Slater's constraint qualification for infinite convex programs

Cites Work

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• On the existence and nonexistence of Lagrange multipliers in Banach spaces
• A remark on a regularity assumption for the mathematical programming problem in Banach spaces
• Regularity and Stability for Convex Multivalued Functions
• The Slater Condition in Infinite-Dimensional Vector Spaces
• On Baire-hyperplane spaces

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