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Contraction Mappings and Extensions

  • Chapter
Handbook of Metric Fixed Point Theory

Abstract

A complete survey of all that has been written about contraction mappings would appear to be nearly impossible, and perhaps not really useful. In particular the wealth of applications of Banach’s contraction mapping principle is astonishingly diverse. We only attempt to touch on some of the high points of this profound and seminal development in metric fixed point theory.

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  1. Department of Mathematics, The University of Iowa, Iowa City, IA, 52242-1419, USA

    W. A. Kirk

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  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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Kirk, W.A. (2001). Contraction Mappings and Extensions. 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_1

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