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Symmetry in the Duality Theory for Vector Optimization Problems

In: Operations Research Proceedings 2008

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  • Martina Wittmann-Hohlbein

    (Institute of Mathematics, Martin-Luther-University Halle-Wittenberg)

Abstract

Summary The objective of this work is to obtain symmetry in the duality theory for linear vector optimization problems as known from the scalar duality theory. We derive results that are related to the concept of geometric duality as introduced in [1] and extend these results to a larger class of optimization problems. We emphasize that the dual problem for the linear vector optimization problem is naturally set-valued as it can easily be derived with results of the Lemma of Farkas

Suggested Citation

  • Martina Wittmann-Hohlbein, 2009. "Symmetry in the Duality Theory for Vector Optimization Problems," Springer Books, in: Bernhard Fleischmann & Karl-Heinz Borgwardt & Robert Klein & Axel Tuma (ed.), Operations Research Proceedings 2008, chapter 87, pages 539-544, Springer.
    • Handle: RePEc:spr:sprchp:978-3-642-00142-0_87
    DOI: 10.1007/978-3-642-00142-0_87
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