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Record Nr. |
UNINA9910817768103321 |
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Autore |
Piasecki Lukasz |
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Titolo |
Classification of Lipschitz mappings / / Lukasz Piasecki |
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Pubbl/distr/stampa |
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Boca Raton, FL : , : CRC Press, , [2014] |
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©2014 |
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ISBN |
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0-429-16917-5 |
1-4665-9522-1 |
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Descrizione fisica |
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1 online resource (234 p.) |
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Collana |
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Pure and applied mathematics : a series of monographs and textbooks |
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Disciplina |
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Soggetti |
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Mappings (Mathematics) |
Topology |
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Lingua di pubblicazione |
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Formato |
Materiale a stampa |
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Livello bibliografico |
Monografia |
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Note generali |
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Nota di bibliografia |
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Includes bibliographical references. |
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Nota di contenuto |
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Cover; Series; Dedication; Contents; Introduction; Chapter 1: The Lipschitz Condition; Chapter 2: Basic Facts on Banach Spaces; Chapter 3: Mean Lipschitz Condition; Chapter 4: On the Lipschitz Constants for Iterates of Mean Lipschitzian Mappings; Chapter 5: Subclasses Determined by p-averages; Chapter 6: Mean Contractions; Chapter 7: Nonexpansive Mappings in Banach Space; Chapter 8: Mean Nonexpansive Mappings; Chapter 9: Mean Lipschitzian Mappings with k > 1; Bibliography; Back Cover |
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Sommario/riassunto |
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Classification of Lipschitz Mappings presents a systematic, self-contained treatment of a new classification of Lipschitz mappings and its application in many topics of metric fixed point theory. Suitable for readers interested in metric fixed point theory, differential equations, and dynamical systems, the book only requires a basic background in functional analysis and topology. The author focuses on a more precise classification of Lipschitzian mappings. The mean Lipschitz condition introduced by Goebel, Japón Pineda, and Sims is relatively easy to check an |
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