A general duality theorem for the Monge–Kantorovich transport problem
Open Access
- 1 January 2012
- journal article
- Published by Institute of Mathematics, Polish Academy of Sciences in Studia Mathematica
- Vol. 209 (2) , 151-167
Abstract
The duality theory for the Monge–Kantorovich transport problem is analyzed in a general setting. The spaces $X, Y$ are assumed to be Polish and equipped with Borel probability measures $\mu $ and $\nu $. The transport cost function $c:X\times Y \to