A fixed point criterion for compact $T_{2}$-spaces
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- by Louis A. Talman
- Proc. Amer. Math. Soc. 51 (1975), 91-93
- DOI: https://doi.org/10.1090/S0002-9939-1975-0370549-4
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Abstract:
We prove a fixed point theorem which has as consequences some theorems of W. G. Dotson, Jr., [2], [3] and of K. Baron and J. Matkowski [1].References
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- W. G. Dotson Jr., Fixed point theorems for non-expansive mappings on star-shaped subsets of Banach spaces, J. London Math. Soc. (2) 4 (1971/72), 408–410. MR 296778, DOI 10.1112/jlms/s2-4.3.408
- W. G. Dotson Jr., On fixed points of nonexpansive mappings in nonconvex sets, Proc. Amer. Math. Soc. 38 (1973), 155–156. MR 313894, DOI 10.1090/S0002-9939-1973-0313894-9
- James Dugundji, Topology, Allyn and Bacon, Inc., Boston, Mass., 1966. MR 0193606
- John L. Kelley, General topology, D. Van Nostrand Co., Inc., Toronto-New York-London, 1955. MR 0070144
Bibliographic Information
- © Copyright 1975 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 51 (1975), 91-93
- MSC: Primary 54H25
- DOI: https://doi.org/10.1090/S0002-9939-1975-0370549-4
- MathSciNet review: 0370549