成本非凸的非线性康托洛维奇运输问题

IF 0.6 4区数学 Q3 MATHEMATICS

Functional Analysis and Its Applications Pub Date : 2024-04-01 DOI:10.1134/S0016266323040019

K. A. Afonin

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引用次数: 0

摘要

摘要本文致力于研究康托洛维奇最优运输问题，该问题具有非线性成本函数，由取决于运输计划条件措施的成本函数生成。本文考虑了成本函数在第二参数中非凸的情况。研究证明，这个在 Souslin 空间上具有一般成本函数的非线性 Kantorovich 问题可以简化为具有凸成本函数的相同问题。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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The Nonlinear Kantorovich Transportation Problem with Nonconvex Costs

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.

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来源期刊

Functional Analysis and Its Applications 数学-数学

CiteScore

0.90

自引率

0.00%

发文量

审稿时长

>12 weeks

期刊介绍： Functional Analysis and Its Applications publishes current problems of functional analysis, including representation theory, theory of abstract and functional spaces, theory of operators, spectral theory, theory of operator equations, and the theory of normed rings. The journal also covers the most important applications of functional analysis in mathematics, mechanics, and theoretical physics.