带参数的康托洛维奇问题中近似蒙日解的连续选择

IF 0.6 4区数学 Q3 MATHEMATICS

Functional Analysis and Its Applications Pub Date : 2024-07-21 DOI:10.1134/s0016266324020096

Svetlana Popova

引用次数: 0

摘要

摘要我们考虑了康托洛维奇最优运输问题，即成本函数和边际分布连续依赖于一个在度量空间中取值的参数。我们证明了与参数连续的近似最优 Monge 映射的存在性。

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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Continuous Selection of Approximate Monge Solutions in the Kantorovich Problem with a Parameter

Abstract

We consider the 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.

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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.