Contraction Mappings and Extensions

W. A. Kirk ()
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W. A. Kirk: The University of Iowa, Department of Mathematics

Chapter Chapter 1 in Handbook of Metric Fixed Point Theory, 2001, pp 1-34 from Springer

Abstract: 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.

Keywords: Fixed Point Theorem; Cauchy Sequence; Contraction Mapping; Unique Fixed Point; Iterate Function System (search for similar items in EconPapers)
Date: 2001
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DOI: 10.1007/978-94-017-1748-9_1

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