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The Nonlinear Kantorovich Transportation Problem with Nonconvex Costs.
- Source :
-
Functional Analysis & Its Applications . Dec2023, Vol. 57 Issue 4, p267-278. 12p. - Publication Year :
- 2023
-
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. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 00162663
- Volume :
- 57
- Issue :
- 4
- Database :
- Academic Search Index
- Journal :
- Functional Analysis & Its Applications
- Publication Type :
- Academic Journal
- Accession number :
- 176997816
- Full Text :
- https://doi.org/10.1134/S0016266323040019