This paper concerns the Monge's transport problem in a general Polish space. We find optimal conditions to establish the equality between the infimum of Monge's problem and the minimum of the Kantorovich's relaxed version of the problem.
On the equality between Monge's infimum and Kantorovich's minimum in optimal mass transportation
Pratelli Aldo
2007-01-01
Abstract
This paper concerns the Monge's transport problem in a general Polish space. We find optimal conditions to establish the equality between the infimum of Monge's problem and the minimum of the Kantorovich's relaxed version of the problem.File in questo prodotto:
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