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Scalarization in Geometric and Functional Vector Optimization Revisited

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Abstract

The aim of this paper is to provide a survey of some recent results in the field of optimality conditions in vector optimization with geometric and inequality/equality constraints. Moreover, the discussion we initiate leads us to consider new situations which were not previously studied.

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Acknowledgements

The work of M. Durea and R. Strugariu was supported by a grant of the Romanian National Authority for Scientific Research, CNCS–UEFISCDI, project number PN-II-ID-PCE-2011-3-0084.

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Authors and Affiliations

  1. Faculty of Mathematics, “Al.I. Cuza” University, Bd. Carol I, nr. 11, 700506, Iaşi, Romania

    Marius Durea

  2. Department of Mathematics and Informatics, “Gh. Asachi” Technical University, Bd. Carol I, nr. 11, 700506, Iaşi, Romania

    Radu Strugariu

  3. Institute of Mathematics, Martin-Luther-Universität Halle-Wittenberg, 06099, Halle (Saale), Germany

    Christiane Tammer

Authors
  1. Marius Durea
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  2. Radu Strugariu
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  3. Christiane Tammer
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Correspondence to Christiane Tammer.

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Durea, M., Strugariu, R. & Tammer, C. Scalarization in Geometric and Functional Vector Optimization Revisited. J Optim Theory Appl 159, 635–655 (2013). https://doi.org/10.1007/s10957-013-0360-2

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  • DOI: https://doi.org/10.1007/s10957-013-0360-2

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