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Scalarization of constraints system in some vector optimization problems and applications

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An Erratum to this article was published on 06 July 2014

Abstract

In this work we employ a new method to penalize a constrained non solid vector optimization problem by means of a scalarization functional applied to the constraints system. Then, we formulate optimality conditions which mainly use several types of regularity for single and set-valued maps. In order to motivate our demarche, we discuss in detail the assumptions used in the main results and we show how it can be verified.

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Acknowledgments

The work of M. Durea was supported by the ERC-Like grant of the Romanian National Authority for Scientific Research 1ERC/02.07.2012. The work of R. Strugariu was supported by a grant of the Romanian National Authority for Scientific Research, CNCS-UEFISCDI, project number PN-II-ID-PCE-2011-3-0563, contract no. 343/5.10.2011.

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Authors and Affiliations

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

    Marius Durea

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

    Radu Strugariu

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  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. Scalarization of constraints system in some vector optimization problems and applications. Optim Lett 8, 2021–2037 (2014). https://doi.org/10.1007/s11590-013-0690-x

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