This article is cited in 1 paper

The nonlinear Kantorovich transportation problem with nonconvex costs

K. A. Afonin<sup>ab

a</sup> Lomonosov Moscow State University
^b Moscow Center for Fundamental and Applied Mathematics

Abstract: The paper is devoted to the study of the Kantorovich optimal transportation problem with nonlinear cost functional generated by a cost function depending on the conditional measures of the transport plan. The case of a cost function nonconvex in the second argument is considered. It is proved that this nonlinear Kantorovich problem with general cost function on a Souslin space can be reduced to the same problem with a convex cost function.

Keywords: Kantorovich problem, conditional measure, nonlinear cost functional, cost function.

Received: 17.05.2023
Revised: 17.05.2023
Accepted: 07.07.2023

DOI: 10.4213/faa4124

 English version: Functional Analysis and Its Applications, 2023, 57:4, 267–278

Bibliographic databases:

• 
• 
•