Topics in Metric Fixed Point Theory
Topics in Metric Fixed Point Theory
February 2011
This ISBN is for an eBook version which is distributed on our behalf by a third party.
Adobe eBook Reader
9780511831690
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.
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
Product details
February 2011Adobe eBook Reader
9780511831690
0 pages
0kg
This ISBN is for an eBook version which is distributed on our behalf by a third party.
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.
