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Proceedings of the American Mathematical Society

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Fixpoint theorem for contractions of a well-chained topological space


Author: Allen S. Davis
Journal: Proc. Amer. Math. Soc. 14 (1963), 981-985
MSC: Primary 54.30
DOI: https://doi.org/10.1090/S0002-9939-1963-0161323-4
MathSciNet review: 0161323
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References [Enhancements On Off] (What's this?)

  • [1] A. S. Davis, Indexed systems of neighborhoods for general topological spaces, Amer. Math. Monthly 68 (1961), 886–893. MR 0214017, https://doi.org/10.2307/2311686
  • [2] A. N. Kolmogorov and S. V. Fomin, Elements of the theory of functions and functional analysis. Vol. 1. Metric and normed spaces, Graylock Press, Rochester, N. Y., 1957. Translated from the first Russian edition by Leo F. Boron. MR 0085462
  • [3] J. C. Mathews, Fixed point theorem for a contraction mapping in a regular developable space, Doctoral dissertation, Iowa State University, Ames, Iowa, 1959.

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DOI: https://doi.org/10.1090/S0002-9939-1963-0161323-4
Article copyright: © Copyright 1963 American Mathematical Society