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A Proof of the Equivalence of Helly's and Krasnoselski's Theorems

Published online by Cambridge University Press:  20 November 2018

J. Borwein
J. Borwein*
Affiliation:
Dalhousie University, HalifaxN. S.
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Abstract

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We show that Krasnoselski's Theorem, which is usually derived from Helly's Theorem, is in fact equivalent to it.

Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 20 , Issue 1 , 01 March 1977 , pp. 35 - 37
Copyright
Copyright © Canadian Mathematical Society 1977

References

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3. Toranzos, F. A., Radial functions of convex and star shaped sets, Amer. Math. Monthly, 74 (1967), 278-280.Google Scholar
4. Valentine, F. A., Convex Sets, McGraw-Hill, New York, 1964.Google Scholar