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Some topological properties of the solution sets of parametrized minimax problems

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Abstract

Sufficient conditions are given to guarantee the closedness and uniform boundedness of the solution sets corresponding to a pair of dual parametrized minimax problems. The parameter of the minimax problems belongs to a metrizable space and affects not only the objective function, but also the feasible sets.

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References

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Authors and Affiliations

  1. Departamento de Matemáticas y Ciencias de la Computación, Universidad de Chile, Casilla 170, Correo 3, Santiago, Chile

    R. Correa

  2. Departamento de Matemática y Ciencia de la Computación, Universidad de Santiago de Chile, Casilla 5659, Correo 2, Santiago, Chile

    A. Seeger

Authors
  1. R. Correa
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  2. A. Seeger
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Additional information

Communicated by A. V. Balakrishnan

This research was supported in part by Fondo Nacional de Ciencias, Proyecto No. 01273.

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Correa, R., Seeger, A. Some topological properties of the solution sets of parametrized minimax problems. Appl Math Optim 15, 87–91 (1987). https://doi.org/10.1007/BF01442647

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  • DOI: https://doi.org/10.1007/BF01442647

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