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Connectedness of the set of nondominated outcomes in multicriteria optimization

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Abstract

Sufficient conditions for the set of nondominated outcomes of a multicriteria optimization problem to be connected are given.

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References

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    Naccache, P. H.,Stability and Multicriteria Optimization, University of California at Berkeley, Berkeley, California, PhD Thesis, 1977.

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Additional information

The author would like to thank Professors G. Leitmann and P. L. Yu for many critical remarks.

The contents of this article are taken from the author's doctoral dissertation written at the University of California at Berkeley under the supervision of Professor G. Leitmann.

Communicated by G. Leitmann

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Naccache, P.H. Connectedness of the set of nondominated outcomes in multicriteria optimization. J Optim Theory Appl 25, 459–467 (1978). https://doi.org/10.1007/BF00932907

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Key Words

  • Multicriteria optimization
  • connectedness
  • nondominated outcomes
  • upperhemicontinuous set-valued maps
  • asymptotic cones