Metric Fixed Point Theory has proved a flourishing area of research for many mathematicians.
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"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
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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Condizione: New. Dieser Artikel ist ein Print on Demand Artikel und wird nach Ihrer Bestellung fuer Sie gedruckt. Metric Fixed Point Theory has proved a flourishing area of research for many mathematicians.InhaltsverzeichnisIntroduction 1. Preliminaries 2. Banach s contraction principle 3. Nonexpansive mappings: introduction 4. The basic fix. Codice articolo 446923586
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Paperback. Condizione: new. Paperback. 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. Metric fixed point theory has proved a flourishing area of research for the past twenty-five years. This book offers the mathematical community an accessible, self-contained document that can be used as an introduction to the subject and its development. It will be understandable to a wide audience, including nonspecialists and provides a source for examples, references and new approaches for those currently working in the subject. Shipping may be from our UK warehouse or from our Australian or US warehouses, depending on stock availability. Codice articolo 9780521064064
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