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Topics in Metric Fixed Point Theory Kazimierz Goebel

Topics in Metric Fixed Point Theory By Kazimierz Goebel

Topics in Metric Fixed Point Theory by Kazimierz Goebel


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Summary

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

Topics in Metric Fixed Point Theory Summary

Topics in Metric Fixed Point Theory by Kazimierz Goebel

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.

Topics in Metric Fixed Point Theory Reviews

"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

About Kazimierz Goebel

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Table of Contents

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.

Additional information

NPB9780521382892
9780521382892
0521382890
Topics in Metric Fixed Point Theory by Kazimierz Goebel
New
Hardback
Cambridge University Press
1990-09-28
256
N/A
Book picture is for illustrative purposes only, actual binding, cover or edition may vary.
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