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

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Abstract.

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, MT and its dual MT\(^*\) are both solvable and their optimal values coincide.

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Authors and Affiliations

  1. Departamento de Matemáticas, CINVESTAV-IPN, A. Postal 14–740, México D.F. 07000, México (e-mail : ohernand@math.cinvestav.mx) , , , , , , MX

    Onésimo Hernández–Lerma

  2. Facultad de Matemáticas, UV, A. Postal 270, Xalapa, Ver. 91090, México (e-mail : jgabriel@dino.coacade.uv.mx) , , , , , , MX

    J. Rigoberto Gabriel

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  1. Onésimo Hernández–Lerma
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  2. J. Rigoberto Gabriel
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Received: 21 July 2000; in final form: 4 December 2000 / Published online: 18 January 2002

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Hernández–Lerma, O., Gabriel, J. Strong duality of the Monge–Kantorovich mass transfer problem in metric spaces. Math Z 239, 579–591 (2002). https://doi.org/10.1007/s002090100325

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  • DOI: https://doi.org/10.1007/s002090100325

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