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    • Keywords


      Conjugate functions; Fenchel duality; vector optimization; weak and strong duality.

    • Abstract


      We introduce a new Fenchel dual for vector optimization problems inspired by the form of the Fenchel dual attached to the scalarized primal multiobjective problem. For the vector primal-dual pair we prove weak and strong duality. Furthermore, we recall two other Fenchel-type dual problems introduced in the past in the literature, in the vector case, and make a comparison among all three duals. Moreover, we show that their sets of maximal elements are equal.

    • Author Affiliations


      Radu Ioan Boţ1 Anca Dumitru2 Gert Wanka1

      1. Faculty of Mathematics, Chemnitz University of Technology, D-09107 Chemnitz, Germany
      2. Faculty of Mathematics and Computer Science, Babes¸-Bolyai University, Str. Kog˜alniceanu nr. 1, 400084 Cluj-Napoca, Romania
    • Dates

  • Proceedings – Mathematical Sciences | News

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      Posted on July 25, 2019

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