A fixed point theorem for continuous multi-valued transformations

Plunkett, Robert L.

doi:10.1090/S0002-9939-1956-0087094-4

Proceedings of the American Mathematical Society

Published by the American Mathematical Society since 1950, Proceedings of the American Mathematical Society is devoted to shorter research articles in all areas of pure and applied mathematics.

ISSN 1088-6826 (online) ISSN 0002-9939 (print)

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A fixed point theorem for continuous multi-valued transformations
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by Robert L. Plunkett

Proc. Amer. Math. Soc. 7 (1956), 160-163

DOI: https://doi.org/10.1090/S0002-9939-1956-0087094-4

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References

Continuous multi-valued functions

Wayman L. Strother, On an open question concerning fixed points, Proc. Amer. Math. Soc. 4 (1953), 988–993. MR 60226, DOI 10.1090/S0002-9939-1953-0060226-7
Gordon Thomas Whyburn, Analytic Topology, American Mathematical Society Colloquium Publications, Vol. 28, American Mathematical Society, New York, 1942. MR 0007095
R. H. Bing, Partitioning continuous curves, Bull. Amer. Math. Soc. 58 (1952), 536–556. MR 49550, DOI 10.1090/S0002-9904-1952-09621-X