The mass-transfer vector problem

DOI10.1016/S0893-9659(99)00205-0zbMath0959.28010MaRDI QIDQ1588767

M. J. Muñoz, Maria E. Ballvé, Pedro Jiménez Guerra

Publication date: 4 December 2000

Published in: Applied Mathematics Letters (Search for Journal in Brave)

zbMATH Keywords

dual problemoperator-valued measuresprimal problemabsence of a duality gapvector integrationBanach valued cost functionscontinuous vector functionsmeasures of bounded variationregular vector measure

Mathematics Subject Classification ID

Variational problems in a geometric measure-theoretic setting (49Q20) Vector-valued set functions, measures and integrals (28B05) Applications of functional analysis in optimization, convex analysis, mathematical programming, economics (46N10) Vector-valued measures and integration (46G10) Duality theory (optimization) (49N15) Existence theories for problems in abstract spaces (49J27)

Related Items (1)

Towards a simultaneous Skorohod theorem

Cites Work

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• Banach lattices
• A generalization of a theorem of Duchon on products of vector measures
• A general solution of the Monge-Kantorovich mass-transfer problem
• A general bilinear vector integral
• The Monge–Kantorovich Mass Transference Problem and Its Stochastic Applications
• On integration in Banach spaces, III
• A simple proof of Singer’s representation theorem
• On integration in Banach spaces, I

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