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Classification of Lipschitz Mappings (Pure and Applied Mathematics) - Hardcover

Buch 46 von 70: Chapman & Hall/CRC Pure and Applied Mathematics

Piasecki, Lukasz

 
9781466595217: Classification of Lipschitz Mappings (Pure and Applied Mathematics)

Inhaltsangabe

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 and turns out to satisfy several principles:







  • Regulating the possible growth of the sequence of Lipschitz constants k(Tn)


  • Ensuring good estimates for k0(T) and k8(T)


  • Providing some new results in metric fixed point theory


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Über die Autorin bzw. den Autor

Piasecki, Lukasz

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