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Nonconvex separation theorems and some applications in vector optimization

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Abstract

Separation theorems for an arbitrary set and a not necessarily convex set in a linear topological space are proved and applied to vector optimization. Scalarization results for weakly efficient points and properly efficient points are deduced.

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Authors and Affiliations

  1. Sektion Mathematik, Technische Hochschule Leuna-Merseburg, Merseburg, Germany

    C. Gerth (Assistant Professor)

  2. Sektion Mathematik, Martin-Luther-Universität Halle-Wittenberg, Halle, Germany

    P. Weidner (Assistant Professor)

Authors
  1. C. Gerth
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  2. P. Weidner
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Communicated by P. L. Yu

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Gerth, C., Weidner, P. Nonconvex separation theorems and some applications in vector optimization. J Optim Theory Appl 67, 297–320 (1990). https://doi.org/10.1007/BF00940478

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