EBOOK

Topics in Metric Fixed Point Theory


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September 1990

Beschreibung

Beschreibung

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.

Portrait

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Pressestimmen

"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
EAN: 9780521382892
ISBN: 0521382890
Untertitel: Sprache: Englisch.
Verlag: CAMBRIDGE UNIVERSITY PRESS
Erscheinungsdatum: September 1990
Format: gebunden
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