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About separation by cones

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Abstract

The notion of separation by hyperplanes is extended, so as to include separation by acute polyhedral cones.

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References

  1. Henig, M. I.,A Cone Separation Theorem, Journal of Optimization Theory and Applications, Vol. 36, pp. 451–455, 1982.

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  2. Rockafellar, R. T.,Convex Analysis, Princeton University Press, Princeton, New Jersey, 1972.

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  3. Yu, P. L.,Cone Convexity, Cone Extreme Points, and Nondominated Solutions in Decision Problems with Multiobjectives, Journal of Optimization Theory and Applications, Vol. 14, pp. 319–377, 1974.

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Authors and Affiliations

  1. Econometrics Institute, University of Groningen, Groningen, Holland

    J. W. Nieuwenhuis (Assistant Professor)

Authors
  1. J. W. Nieuwenhuis
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Communicated by P. L. Yu

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Nieuwenhuis, J.W. About separation by cones. J Optim Theory Appl 41, 473–479 (1983). https://doi.org/10.1007/BF00935366

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  • DOI: https://doi.org/10.1007/BF00935366

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