A unified approach to duality in convex programming

DOI10.1016/0022-247X(91)90347-3zbMath0748.90053MaRDI QIDQ1189688

Dominikus Noll

Publication date: 27 September 1992

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

zbMATH Keywords

Lagrange dualityFenchel dualityStability criteriaBifunctional duality

Mathematics Subject Classification ID

Convex programming (90C25) Sensitivity, stability, parametric optimization (90C31) Duality theory (optimization) (49N15)

Cites Work

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• Sandwich Theorem und offene Zerlegungen in schwach K-analytischen Banachräumen. (Sandwich theorem and open decompositions in weakly K- analytic Banach spaces)
• Continuous affine support mappings for convex operators
• A duality theorem for a convex programming problem in order complete vector lattices
• Espaces de Banachs faiblement K-analytiques
• Unconditional convergence in partially ordered linear spaces
• Sandwich theorem and supportability for partially defined convex operators
• A Lagrange multiplier theorem and a sandwich theorem for convex relations.
• Approaches to the Theory of Optimization
• Sous-Différentiabilité de fonctions convexes à valeurs dans un espace vectoriel ordonné.

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