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Handbook of Metric Fixed Point Theory
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Handbook of Metric Fixed Point Theory Hardcover - 2001 - 2001st Edition

by W. a. Kirk (Editor); B. Sims (Editor)


From the publisher

Metric fixed point theory encompasses the branch of fixed point theory which metric conditions on the underlying space and/or on the mappings play a fundamental role. In some sense the theory is a far-reaching outgrowth of Banach's contraction mapping principle. A natural extension of the study of contractions is the limiting case when the Lipschitz constant is allowed to equal one. Such mappings are called nonexpansive. Nonexpansive mappings arise in a variety of natural ways, for example in the study of holomorphic mappings and hyperconvex metric spaces.
Because most of the spaces studied in analysis share many algebraic and topological properties as well as metric properties, there is no clear line separating metric fixed point theory from the topological or set-theoretic branch of the theory. Also, because of its metric underpinnings, metric fixed point theory has provided the motivation for the study of many geometric properties of Banach spaces. The contents of this Handbook reflect all of these facts.
The purpose of the Handbook is to provide a primary resource for anyone interested in fixed point theory with a metric flavor. The goal is to provide information for those wishing to find results that might apply to their own work and for those wishing to obtain a deeper understanding of the theory. The book should be of interest to a wide range of researchers in mathematical analysis as well as to those whose primary interest is the study of fixed point theory and the underlying spaces. The level of exposition is directed to a wide audience, including students and established researchers.

First line

A complete survey of all that has been written about contraction mappings would appear to be nearly impossible, and perhaps not really useful.

Details

  • Title Handbook of Metric Fixed Point Theory
  • Author W. a. Kirk (Editor); B. Sims (Editor)
  • Binding Hardcover
  • Edition number 2001st
  • Edition 2001
  • Pages 704
  • Volumes 1
  • Language ENG
  • Publisher Springer
  • Date 2001-06-30
  • ISBN 9780792370734 / 0792370732
  • Weight 2.59 lbs (1.17 kg)
  • Dimensions 9.21 x 6.14 x 1.5 in (23.39 x 15.60 x 3.81 cm)
  • Library of Congress subjects Fixed point theory
  • Library of Congress Catalog Number 2001038248
  • Dewey Decimal Code 515.724
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Handbook of Metric Fixed Point Theory

Handbook of Metric Fixed Point Theory

by William Kirk

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Handbook of Metric Fixed Point Theory
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Handbook of Metric Fixed Point Theory

by Kirk, W.A. [Editor]; Sims, B. [Editor];

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