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Existence of Solutions in Vector Optimization Problems

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Abstract

Conditions for the existence of various effective solutions of vector optimization problems with an unbounded convex closed feasible set of solutions are established. The study is based on the use of the properties of recession cones of sets of feasible solutions and cones of perspective directions of optimization problems.

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Authors and Affiliations

  1. Cybernetics Institute, National Academy of Sciences of Ukraine, Kiev, Ukraine

    I. V. Sergienko, T. T. Lebedeva & N. V. Semenova

Authors
  1. I. V. Sergienko
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  2. T. T. Lebedeva
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  3. N. V. Semenova
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Sergienko, I.V., Lebedeva, T.T. & Semenova, N.V. Existence of Solutions in Vector Optimization Problems. Cybernetics and Systems Analysis 36, 823–828 (2000). https://doi.org/10.1023/A:1009401209157

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  • DOI: https://doi.org/10.1023/A:1009401209157

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