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 subjectand 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. INDICE: Introduction; 1. Preliminaries; 2. Banach’s contraction principle;3. Nonexpansive mappings: introduction; 4. The basic fixed point theorems fornonexpansive 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 minimalsets; 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.
- ISBN: 978-0-521-06406-4
- Editorial: Cambridge University
- Encuadernacion: Rústica
- Páginas: 256
- Fecha Publicación: 05/06/2008
- Nº Volúmenes: 1
- Idioma: Inglés