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The Common Point Theorem for Ultrametric Spaces

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Abstract

In a paper we proved the following fixed point theorem: Every strictly contracting map F:X → X of a spherically complete ultrametric space X has a unique fixed point x, that is, F(x) = x. In this paper we study conditions for two self-maps F, G of an ultrametric space to have a common point x, i.e. F(x) = G(x).

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Authors and Affiliations

  1. Mathematisches Institut der, Universität München, Theresienstr. 39, 80333, Munich, Germany; e-mail

    Sibylla Priess-Crampe

  2. Department of Mathematics and Statistics, Queen's University, Kingston, Ontario, K7L 3N6, Canada

    Paulo Ribenboim

Authors
  1. Sibylla Priess-Crampe
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  2. Paulo Ribenboim
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Priess-Crampe, S., Ribenboim, P. The Common Point Theorem for Ultrametric Spaces. Geometriae Dedicata 72, 105–110 (1998). https://doi.org/10.1023/A:1005078407370

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  • DOI: https://doi.org/10.1023/A:1005078407370

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