Topics in Metric Fixed Point Theory

Informationen zum Autor fm.author_biographical_note1 fm.author_biographical_note2 Klappentext Metric Fixed Point Theory has proved a flourishing area of research for many mathematicians. Zusammenfassung Metric Fixed Point Theory has proved a flourishing area of research for many mathematicians. Inhaltsverzeichnis 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.

Product details

• Authors: Kazimierz Goebel, Kazimierz Kirk Goebel, W. A. Kirk
• Assisted by: Bela Bollobas (Editor)
• Publisher: Cambridge University Press ELT
• Languages: English
• Product format: Hardback
• Released: 28.09.1990
• EAN: 9780521382892
• ISBN: 978-0-521-38289-2
• No. of pages: 256
• Series: Cambridge Studies in Advanced Mathematics
• Subject: Natural sciences, medicine, IT, technology > Mathematics > Analysis