Strong duality of the Monge-Kantorovich mass transfer problem in metric spaces

被引：5

作者：

Hernández-Lerma, O

Gabriel, JR

机构：

[1] Inst Politecn Nacl, Ctr Invest & Estudios Avanzados, Dept Matemat, Mexico City 07000, DF, Mexico

[2] Univ Veracruz, Fac Matemat, Xalapa 91090, Veracruz, Mexico

来源：

MATHEMATISCHE ZEITSCHRIFT | 2002年 / 239卷 / 03期

关键词：

Mass Transfer; Cost Function; Transfer Problem; Strong Duality; Duality Condition;

D O I：

10.1007/s002090100325

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

This paper studies the Monge-Kantorovich mass transfer (MT) problem on metric spaces and with an unbounded cost function. Conditions are given under which the strong duality condition holds; that is, NIT and its dual MT* are both solvable and their optimal values coincide.

引用

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页码：579 / 591

页数：13

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