Kazimierz Goebel,
W. A. Kirk,
W. A. (University of Iowa) Kirk
Cambridge University Press
e druk, 2008
9780521064064
Topics in Metric Fixed Point Theory
Specificaties
Paperback, 256 blz.
|
Engels
Cambridge University Press |
e druk, 2008
ISBN13: 9780521064064
Rubricering
Onderdeel van serie
Cambridge Studies in
Levertijd ongeveer 8 werkdagen
Samenvatting
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.
Specificaties
ISBN13:9780521064064
Taal:Engels
Bindwijze:Paperback
Aantal pagina's:256
Uitgever:Cambridge University Press
Serie:Cambridge Studies in
Inhoudsopgave
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.