Geodesic
Continuous selection of approximate Monge solutions in the Kantorovich problem with a parameter
Funkcionalʹnyj analiz i ego priloženiâ, Tome 58 (2024) no. 2, pp. 137-156 Cet article a éte moissonné depuis la source Math-Net.Ru

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We consider the Kantorovich optimal transportation problem in the case where the cost function and marginal distributions continuously depend on a parameter with values in a metric space. We prove the existence of approximate optimal Monge mappings continuous with respect to the parameter.
Keywords: Kantorovich problem, Monge problem, continuity with respect to a parameter.
Mots-clés : optimal transportation problem 
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Svetlana Popova. Continuous selection of approximate Monge solutions in the Kantorovich problem with a parameter. Funkcionalʹnyj analiz i ego priloženiâ, Tome 58 (2024) no. 2, pp. 137-156. http://geodesic.mathdoc.fr/item/FAA_2024_58_2_a8/

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