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Metric Environment of the Topological Fixed Point Theorems

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Handbook of Metric Fixed Point Theory

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Abstract

In metric fixed point theory the term the fixed point property is usually related to a certain class of mappings described by some metric conditions. In topological part of the theory however, we use this term with respect to the wide class of spaces and families of continuous transformations. Let us begin with recalling the classical definition and facts.

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Author information

Authors and Affiliations

  1. Maria Curie-Skłodowska University, 20-031, Lublin, Poland

    Kazimierz Goebel

Authors
  1. Kazimierz Goebel
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Editor information

Editors and Affiliations

  1. Department of Mathematics, The University of Iowa, Iowa City, IA, USA

    William A. Kirk

  2. School of Mathematical and Physical Sciences, The University of Newcastle, Newcastle, Australia

    Brailey Sims

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© 2001 Springer Science+Business Media Dordrecht

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Goebel, K. (2001). Metric Environment of the Topological Fixed Point Theorems. In: Kirk, W.A., Sims, B. (eds) Handbook of Metric Fixed Point Theory. Springer, Dordrecht. https://doi.org/10.1007/978-94-017-1748-9_17

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  • DOI: https://doi.org/10.1007/978-94-017-1748-9_17

  • Publisher Name: Springer, Dordrecht

  • Print ISBN: 978-90-481-5733-4

  • Online ISBN: 978-94-017-1748-9

  • eBook Packages: Springer Book Archive

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