Topics in metric fixed point theory
Author(s)
Bibliographic Information
Topics in metric fixed point theory
(Cambridge studies in advanced mathematics, 28)
Cambridge University Press, 1990
Available at / 57 libraries
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Research Institute for Economics & Business Administration (RIEB) Library , Kobe University図書
513-26s081000083139*
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Hokkaido University, Library, Graduate School of Science, Faculty of Science and School of Science図書
DC19:515/G552070168663
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Note
Bibliography: p. 234-241
Includes index
Description and Table of Contents
Description
Metric Fixed Point Theory has proved a flourishing area of research for many mathematicians. This book aims to offer the mathematical community an accessible, self-contained account which can be used as an introduction to the subject and its development. It will be understandable to a wide audience, including non-specialists, and provide a source of examples, references and new approaches for those currently working in the subject.
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.
by "Nielsen BookData"