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2018 Multiresolution Analysis Applied to the Monge-Kantorovich Problem
Armando Sánchez-Nungaray, Carlos González-Flores, Raquiel R. López-Martínez
Abstr. Appl. Anal. 2018: 1-9 (2018). DOI: 10.1155/2018/1764175

Abstract

We give a scheme of approximation of the MK problem based on the symmetries of the underlying spaces. We take a Haar type MRA constructed according to the geometry of our spaces. Thus, applying the Haar type MRA based on symmetries to the MK problem, we obtain a sequence of transportation problem that approximates the original MK problem for each of MRA. Moreover, the optimal solutions of each level solution converge in the weak sense to the optimal solution of original problem.

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Armando Sánchez-Nungaray. Carlos González-Flores. Raquiel R. López-Martínez. "Multiresolution Analysis Applied to the Monge-Kantorovich Problem." Abstr. Appl. Anal. 2018 1 - 9, 2018. https://doi.org/10.1155/2018/1764175

Information

Received: 17 February 2018; Accepted: 4 April 2018; Published: 2018
First available in Project Euclid: 11 July 2018

zbMATH: 06929578
MathSciNet: MR3816081
Digital Object Identifier: 10.1155/2018/1764175

Rights: Copyright © 2018 Hindawi

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