On the separation of closed, convex sets

Nikolaos S. Papageorgiou

Commentationes Mathematicae Universitatis Carolinae (1986)

  • Volume: 027, Issue: 2, page 221-228
  • ISSN: 0010-2628

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Papageorgiou, Nikolaos S.. "On the separation of closed, convex sets." Commentationes Mathematicae Universitatis Carolinae 027.2 (1986): 221-228. <http://eudml.org/doc/17453>.

@article{Papageorgiou1986,
author = {Papageorgiou, Nikolaos S.},
journal = {Commentationes Mathematicae Universitatis Carolinae},
keywords = {closedness of the sum of two convex sets; separation principle; characterization of relative continuity points of convex functions; local compactness},
language = {eng},
number = {2},
pages = {221-228},
publisher = {Charles University in Prague, Faculty of Mathematics and Physics},
title = {On the separation of closed, convex sets},
url = {http://eudml.org/doc/17453},
volume = {027},
year = {1986},
}

TY - JOUR
AU - Papageorgiou, Nikolaos S.
TI - On the separation of closed, convex sets
JO - Commentationes Mathematicae Universitatis Carolinae
PY - 1986
PB - Charles University in Prague, Faculty of Mathematics and Physics
VL - 027
IS - 2
SP - 221
EP - 228
LA - eng
KW - closedness of the sum of two convex sets; separation principle; characterization of relative continuity points of convex functions; local compactness
UR - http://eudml.org/doc/17453
ER -

References

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  1. J. P. AUBIN, Mathematical Methods in Game and Economic Theory, Studies in Math, and its Applications, Vol. 7, North-Holland, Amsterdam (1979). (1979) MR0556865
  2. J. DIEUDONNÉ, Sur la separation des ensembles convexes, Math. Annalen 163 (1966), 1-3. (1966) MR0194865
  3. P. J. LAURENT, Approximation et Optimisation, Hermann, Paris (1972). (1972) Zbl0238.90058MR0467080
  4. R. T. ROCKAFELLAR, Convex Analysis, Princeton Univ. Press, Princeton. Zbl1011.49013MR1451876
  5. R. T. ROCKAFELLAR, Level sets and continuity of conjugate convex functions, Trans. Amer. Math. Soc. 123 (1966), 46-63. (1966) Zbl0145.15802MR0192318

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