Kazimierz Goebel, W. A. Kirk

Topics in Metric Fixed Point Theory

Herausgeber: Bollobas, Bela

• Gebundenes Buch

Produktbeschreibung

Metric Fixed Point Theory has proved a flourishing area of research for many mathematicians.

Produktdetails

• Verlag: Cambridge University Press
• Seitenzahl: 256
• Erscheinungstermin: 26. Oktober 2002
• Englisch
• Abmessung: 235mm x 157mm x 20mm
• Gewicht: 573g
• ISBN-13: 9780521382892
• ISBN-10: 0521382890
• Artikelnr.: 21597521

Inhaltsangabe

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.