Approximate Monge solutions continuously depending on the parameter

Autor:	Popova, Svetlana
Rok vydání:	2023
Předmět:	Mathematics - Functional Analysis Mathematics - Probability
Druh dokumentu:	Working Paper
Popis:	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.
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2302.12754 Zobrazit plný text záznamu View this record from Arxiv