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Strong duality of the general capacity problem in metric spaces

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Abstract.

This paper concerns the general capacity (GC) problem on metric spaces. Conditions are given under which the strong duality condition holds, that is, GC and its dual GC* are both solvable and their optimal values coincide.

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Authors and Affiliations

  1. Facultad de Matemáticas, UV, A. Postal 270, Xalapa, Ver. 91090, México (e-mail: jgabriel@math.cinvestav.mx), , , , , , MX

    J. Rigoberto Gabriel

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

    Onésimo Hernández-Lerma

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  1. J. Rigoberto Gabriel
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  2. Onésimo Hernández-Lerma
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Manuscript received: February 2000/Final version received: May 2000

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Gabriel, J., Hernández-Lerma, O. Strong duality of the general capacity problem in metric spaces. Mathematical Methods of OR 53, 25–34 (2001). https://doi.org/10.1007/s001860000078

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  • DOI: https://doi.org/10.1007/s001860000078

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