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Generalization and sharpening of some duality relations for a class of vector optimization problems

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Abstract

We consider a class of vector optimization problems with linear restrictions in which each objective function is a sum of a linear function and of a norm of a linear vector function. Under some conditions we prove weak, direct and converse duality statements. In comparison with former papers the considered class is more general and our results are sharper.

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Authors and Affiliations

  1. Sektion Mathematik, TH Leuna-Merseburg, Otto-Nuschke-Str., 4200, Merseburg, BRD

    Ch. Tammer

  2. FB Mathematik u. Informatik, TH Leipzig, PF 66, 7030, Leipzig, BRD

    K. Tammer

Authors
  1. Ch. Tammer
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  2. K. Tammer
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Tammer, C., Tammer, K. Generalization and sharpening of some duality relations for a class of vector optimization problems. ZOR - Methods and Models of Operations Research 35, 249–265 (1991). https://doi.org/10.1007/BF01415910

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