Constrained Optimal Transport

Ekren, I; Soner, H Mete

Constrained Optimal Transport

Author(s): Ekren, I; Soner, H Mete

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Full metadata record

DC Field	Value	Language
dc.contributor.author	Ekren, I	-
dc.contributor.author	Soner, H Mete	-
dc.date.accessioned	2021-10-11T14:18:01Z	-
dc.date.available	2021-10-11T14:18:01Z	-
dc.date.issued	2018-03-01	en_US
dc.identifier.citation	Ekren, I, Soner, HM. (2018). Constrained Optimal Transport. Archive for Rational Mechanics and Analysis, 227 (3), 929 - 965. doi:10.1007/s00205-017-1178-0	en_US
dc.identifier.issn	0003-9527	-
dc.identifier.uri	http://arks.princeton.edu/ark:/88435/pr1rg5p	-
dc.description.abstract	© 2017, Springer-Verlag GmbH Germany. The classical duality theory of Kantorovich (C R (Doklady) Acad Sci URSS (NS) 37:199–201, 1942) and Kellerer (Z Wahrsch Verw Gebiete 67(4):399–432, 1984) for classical optimal transport is generalized to an abstract framework and a characterization of the dual elements is provided. This abstract generalization is set in a Banach lattice X with an order unit. The problem is given as the supremum over a convex subset of the positive unit sphere of the topological dual of X and the dual problem is defined on the bi-dual of X. These results are then applied to several extensions of the classical optimal transport.	en_US
dc.format.extent	929 - 965	en_US
dc.language.iso	en_US	en_US
dc.relation.ispartof	Archive for Rational Mechanics and Analysis	en_US
dc.rights	Author's manuscript	en_US
dc.title	Constrained Optimal Transport	en_US
dc.type	Journal Article	en_US
dc.identifier.doi	doi:10.1007/s00205-017-1178-0	-
dc.identifier.eissn	1432-0673	-
pu.type.symplectic	http://www.symplectic.co.uk/publications/atom-terms/1.0/journal-article	en_US

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