A NOTE ON A COVERING THEOREM OF KY FAN

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Published: Dec 1, 1991
DOI: https://doi.org/10.5556/j.tkjm.22.1991.4618
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A COVERING THEOREM OF KY FAN

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HWEI-MEI KO
Department of Mathematics, National Central University, Chung Li, Taiwan 32054, Republic of China.
KOK-KEONG TAN
Department of Mathematics, Statistics amd Computing Science Dalhousie University, Halifax, Nova. Scotia, B3H 315, Canada.

Abstract




A covering theorem by open sets is proved to be equivalent to a covering theorem by closed sets due to Ky Fan. DuaI theorems of Shapley zmd Knaster et al. are obtained as applications.




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How to Cite
KO, H.-M., & TAN, K.-K. (1991). A NOTE ON A COVERING THEOREM OF KY FAN. Tamkang Journal of Mathematics, 22(4), 329–333. https://doi.org/10.5556/j.tkjm.22.1991.4618
Issue
Vol. 22 No. 4 (1991)
Section
Papers
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References

K. Fan, "Some properties of convex sets related to fixed point theorems", Math. Ann. 266 (1984), 519-537.

B. Knaster, C. Kuratowski and S. Mazurkiewicz, "Ein Beweis des Fixpunktsatzes fur n-dimension-ale Simplexe", Fund. Math. 14 (1929), 132-137.

L. S. Shapley, "On balanoed games without side payments", In: Mathematical Programming, pp.261-290, (Eds. T. C. Hu and S. M. Robinson) New York, Academic Press, 1973.

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