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On the Parametric Decomposition Theorem in Multiobjective Optimization

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Abstract

An example is given to show the inadequacy of a well-known result, concerning the parametric decomposition theorem for multiobjective optimization problems. We also give an accurate decomposition theorem, which generalizes a corrected reformulation of this result.

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Acknowledgements

This research was partly supported by the Plan Andaluz de Investigacíon (group SEJ-532) and by the Ministerio de Economía y Competitividad of Spain (Research Projects MTM2013-45588-C3-C2 and ECO2014-56397-P).

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Authors and Affiliations

  1. Departamento de Algebra, Geometría y Topología, Facultad de Ciencias, Universidad de Málaga, 29071, Málaga, Spain

    José Antonio Cuenca Mira

  2. Departamento de Economía Aplicada (Matemáticas), Facultad de Ciencias Económicas, Universidad de Málaga, 29071, Málaga, Spain

    Francisca Miguel García

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  1. José Antonio Cuenca Mira
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  2. Francisca Miguel García
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Correspondence to Francisca Miguel García.

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Cuenca Mira, J.A., Miguel García, F. On the Parametric Decomposition Theorem in Multiobjective Optimization. J Optim Theory Appl 174, 945–953 (2017). https://doi.org/10.1007/s10957-017-1118-z

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  • DOI: https://doi.org/10.1007/s10957-017-1118-z

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