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Topics in Metric Fixed Point Theory

$72.95 (C)

Part of Cambridge Studies in Advanced Mathematics

  • Date Published: June 2008
  • availability: Available
  • format: Paperback
  • isbn: 9780521064064

$ 72.95 (C)
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About the Authors
  • Metric fixed point theory has proved a flourishing area of research for the past twenty-five years. This book offers the mathematical community an accessible, self-contained document that can be used as an introduction to the subject and its development. It will be understandable to a wide audience, including nonspecialists and provides a source for examples, references and new approaches for those currently working in the subject.

    Reviews & endorsements

    "In short, everything anyone wants to know about metric fixed point theory is discussed somewhere, clearly and with recent proofs where there are any." M. M. Day, Mathematical Reviews

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    Product details

    • Date Published: June 2008
    • format: Paperback
    • isbn: 9780521064064
    • length: 256 pages
    • dimensions: 229 x 150 x 15 mm
    • weight: 0.378kg
    • availability: Available
  • Table of Contents

    Introduction
    1. Preliminaries
    2. Banach's contraction principle
    3. Nonexpansive mappings: introduction
    4. The basic fixed point theorems for nonexpansive mappings
    5. Scaling the convexity of the unit ball
    6. The modulus of convexity and normal structure
    7. Normal structure and smoothness
    8. Conditions involving compactness
    9. Sequential approximation techniques
    10. Weak sequential approximations
    11. Properties of fixed point sets and minimal sets
    12. Special properties of Hilbert space
    13. Applications to accretivity
    14. Nonstandard methods
    15. Set-valued mappings
    16. Uniformly Lipschitzian mappings
    17. Rotative mappings
    18. The theorems of Brouwer and Schauder
    19. Lipschitzian mappings
    20. Minimal displacement
    21. The retraction problem
    References.

  • Authors

    Kazimierz Goebel

    W. A. Kirk, University of Iowa

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