Duality for optimal control-approximation problems with gauges

DOI10.4171/ZAA/894zbMath1016.90076MaRDI QIDQ1301265

U. Krallert, Gert Wanka

Publication date: 28 February 2000

Published in: Zeitschrift für Analysis und ihre Anwendungen (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/50181

zbMATH Keywords

weak and strong dualitylocation problemsgaugescontrol-approximation problemmultifacility problems

Mathematics Subject Classification ID

Convex programming (90C25) Continuous location (90B85) Optimality conditions and duality in mathematical programming (90C46) Duality theory (optimization) (49N15)

Related Items (4)

Duality for location problems with unbounded unit balls ⋮ Unnamed Item ⋮ Duality results for nonlinear single minimax location problems via multi-composed optimization ⋮ Multiobjective control approximation problems: duality and optimality.

Cites Work

• On Pareto optima, the Fermat-Weber problem, and polyhedral gauges
• Duality for constrained multifacility location problems with mixed norms and applications
• Geometrical properties of the Fermat-Weber problem
• Approximation durch Lösungen partieller Differentialgleichungen
• Approximation by solutions of elliptic equations
• Duality in vectorial control approximation problems with inequality restrictions
• A primal-dual algorithm for the fermat-weber problem involving mixed gauges
• Generalization and sharpening of some duality relations for a class of vector optimization problems
• Über L₂‐Approximationssätze – eine Eigenschaft der Lösungen elliptischer Differentialgleichungen
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