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Classification of Lipschitz Mappings
Contributor(s): Piasecki, Lukasz (Author)
ISBN: 036737904X     ISBN-13: 9780367379049
Publisher: CRC Press
OUR PRICE:   $75.95  
Product Type: Paperback - Other Formats
Published: June 2019
Qty:
Additional Information
BISAC Categories:
- Mathematics | Transformations
- Mathematics | Differential Equations - General
- Mathematics | Functional Analysis
Dewey: 515.73
Series: Chapman & Hall/CRC Pure and Applied Mathematics
Physical Information: 0.5" H x 6" W x 9.1" (0.75 lbs) 234 pages
 
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Publisher Description:

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 k∞(T)

  • Providing some new results in metric fixed point theory