Topics in Metric Fixed Point Theory - Rilegato

Goebel, Kazimierz; Kirk, W. A.

 
9780521382892: Topics in Metric Fixed Point Theory

Sinossi

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

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Recensione

"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

Contenuti

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.

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Altre edizioni note dello stesso titolo

9780521064064: Topics in Metric Fixed Point Theory

Edizione in evidenza

ISBN 10:  0521064066 ISBN 13:  9780521064064
Casa editrice: Cambridge University Press, 2008
Brossura