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July 24, 2026
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Approximate Monge solutions continuously depending on the parameter

2023.
Popova S.
 We consider 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.
Priority areas: mathematics
Language: English
Keywords: Kantorovich problemMonge problem optimal transportation problemcontinuity with respect to a parameter
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