This article is cited 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

DOI: 10.4213/tvp133

 English version: Theory of Probability and its Applications, 2006, 50:4, 689–693

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