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Teoriya Veroyatnostei i ee Primeneniya, 2005, Volume 50, Issue 4, Pages 779–782
DOI: https://doi.org/10.4213/tvp133 (Mi tvp133) 		 
This article is cited in 5 scientific papers (total in 5 papers)

Short Communications

A remark on the equality in Monge and Kantorovich problems

A. A. Lipchyus

M. V. Lomonosov Moscow State University, Faculty of Mechanics and Mathematics
Full-text PDF (564 kB) Citations (5)
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DOI: https://doi.org/10.4213/tvp133
Abstract: The aim of this paper is a generalization of the classic result on the equality between the Monge infimum and the Kantorovich minimum in the optimal mass transportation problem.
Keywords: Monge's infimum, Kantorovich's minimum, mass transportation problem, Souslin space.
Received: 31.10.2005
English version:
Theory of Probability and its Applications, 2006, Volume 50, Issue 4, Pages 689–693
DOI: https://doi.org/10.1137/S0040585X97982074
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: A. A. Lipchyus, “A remark on the equality in Monge and Kantorovich problems”, Teor. Veroyatnost. i Primenen., 50:4 (2005), 779–782; Theory Probab. Appl., 50:4 (2006), 689–693
Citation in format AMSBIB
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  • https://www.mathnet.ru/eng/tvp/v50/i4/p779
    • This publication is cited in the following 5 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Теория вероятностей и ее применения Theory of Probability and its Applications
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