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Characterizations of efficient points in convex vector optimization problems

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Abstract.

We present a geometrical characterization of weakly efficient points which generalizes the characterization recently given by Carrizosa and Plastria for functions over real Banach spaces. Further we indicate some applications of the shown optimality criteria to location problems, and we investigate approximately efficient solutions.

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Authors and Affiliations

  1. Martin-Luther-University Halle-Wittenberg, Department of Mathematics and Informatics, Theodor-Lieser-Strasse 5, 06099 Halle (Saale), Germany (e-mail: winkler@mathematik.uni-halle.de), , , , , , DE

    Kristin Winkler

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  1. Kristin Winkler
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Manuscript received: August 2000/Final version received: October 2000

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Winkler, K. Characterizations of efficient points in convex vector optimization problems. Mathematical Methods of OR 53, 205–214 (2001). https://doi.org/10.1007/s001860100113

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  • DOI: https://doi.org/10.1007/s001860100113

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