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A barrier method in convex vector optimization with generalized inequality constraints

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Abstract

In this note we present a barrier method for vector optimization problems with inequality constraints. To this aim, we firstly investigate some constraint qualification conditions and we compare them to the corresponding ones in literature. Then, we define a barrier function and observe that its basic properties do work for fairly general situations, while for meaningful convergence results of the associated barrier method we should restrict ourselves to convex case and finite dimensional setting.

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Acknowledgements

This work was supported by a grant of Romanian Ministry of Research and Innovation, CNCS-UEFISCDI, project number PN-III-P4-ID-PCE-2016-0188, within PNCDI III.

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Authors and Affiliations

  1. Faculty of Mathematics, “Alexandru Ioan Cuza” University, Bd. Carol I, nr. 11, 700506, Iasi, Romania

    Marius Durea

  2. “Octav Mayer” Institute of Mathematics of the Romanian Academy, Iasi, Romania

    Marius Durea

  3. Department of Mathematics, “Gheorghe Asachi” Technical University, Bd. Carol I, nr. 11, 700506, Iasi, Romania

    Radu Strugariu

Authors
  1. Marius Durea
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  2. Radu Strugariu
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Correspondence to Marius Durea.

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Durea, M., Strugariu, R. A barrier method in convex vector optimization with generalized inequality constraints. Optim Lett 14, 759–769 (2020). https://doi.org/10.1007/s11590-019-01393-1

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  • DOI: https://doi.org/10.1007/s11590-019-01393-1

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