Approximate Monge solutions continuously depending on the parameter
Functional Analysis
2023-02-27 v1 Probability
Abstract
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.
Cite
@article{arxiv.2302.12754,
title = {Approximate Monge solutions continuously depending on the parameter},
author = {Svetlana Popova},
journal= {arXiv preprint arXiv:2302.12754},
year = {2023}
}