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.
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页码：579 / 591
页数：13
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