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On a Sufficient Condition for Weak Sharp Efficiency in Multiobjective Optimization

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Abstract

In this paper, we provide sufficient conditions entailing the existence of weak sharp efficient points of a multiobjective optimization problem. The approach uses variational analysis techniques, like regularity and subregularity of the diagonal subdifferential map related to a suitable scalar equilibrium problem naturally associated to the multiobjective optimization problem.

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Acknowledgements

The authors would like to express their gratitude to the referee for carefully reading their manuscript. His/her questions/advices led to an improvement of the paper. The research of the second author was supported by a Grant of Romanian Ministry of Research and Innovation, CNCS-UEFISCDI, Project PN-III-P4-ID-PCE-2016-0190, within PNCDI III.

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Authors and Affiliations

  1. Università Cattolica del Sacro Cuore, Milan, Italy

    Monica Bianchi

  2. Babes-Bolyai University, Cluj-Napoca, Romania

    Gábor Kassay

  3. Università degli Studi di Milano-Bicocca, Milan, Italy

    Rita Pini

Authors
  1. Monica Bianchi
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  2. Gábor Kassay
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  3. Rita Pini
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Correspondence to Gábor Kassay.

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Bianchi, M., Kassay, G. & Pini, R. On a Sufficient Condition for Weak Sharp Efficiency in Multiobjective Optimization. J Optim Theory Appl 178, 78–93 (2018). https://doi.org/10.1007/s10957-018-1307-4

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  • DOI: https://doi.org/10.1007/s10957-018-1307-4

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