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Existence of weakly efficient solutions in vector optimization

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Abstract

In this paper, we present an existence result for weak efficient solution for the vector optimization problem. The result is stated for invex strongly compactly Lipschitz functions.

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Authors and Affiliations

  1. Departamento de Matemática, Universidade Federal do Paraná., CP. 019081, CEP: 81531990, Curitiba-PR, Brazil

    Lucelina Batista Santos

  2. Departamento de Ciencias Básicas, Universidad del Bío-Bío Facultad de Ciencias, Campus Fernando May, Casilla 447, Chillán, Chile

    Marko Rojas-Medar

  3. Departamento de Estadística e I.O., Universidad de Cádiz, E.U.E. Empresariales, Por-vera 54, 11403, Jerez de la Frontera, Spain

    Gabriel Ruiz-Garzón

Authors
  1. Lucelina Batista Santos
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  2. Marko Rojas-Medar
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  3. Gabriel Ruiz-Garzón
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Corresponding author

Correspondence to Lucelina Batista Santos.

Additional information

This work was partially supported by Ministério de Educación y Ciencia de España, Grant No. MTM2007-63432

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Batista Santos, L., Rojas-Medar, M. & Ruiz-Garzón, G. Existence of weakly efficient solutions in vector optimization. Acta. Math. Sin.-English Ser. 24, 599–606 (2008). https://doi.org/10.1007/s10114-007-5649-3

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  • DOI: https://doi.org/10.1007/s10114-007-5649-3

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