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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
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
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
Linking options:
https://www.mathnet.ru/eng/tvp133https://doi.org/10.4213/tvp133 https://www.mathnet.ru/eng/tvp/v50/i4/p779
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Abstract page: | 308 | Full-text PDF : | 170 | References: | 49 |
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