Topics in metric fixed point theory
著者
書誌事項
Topics in metric fixed point theory
（Cambridge studies in advanced mathematics, 28）
Cambridge University Press, 1990
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注記
Bibliography: p. 234-241
Includes index
内容説明・目次
内容説明
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.
目次
- 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.
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