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Classification of Lipschitz Mappings
Contributor(s): Piasecki, Lukasz (Author)

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 ISBN: 1466595213     ISBN-13: 9781466595217
Publisher: CRC Press
OUR PRICE: $142.50  

Binding Type: Hardcover - See All Available Formats & Editions
Published: December 2013
Qty:

Click for more in this series: Chapman & Hall/CRC Pure and Applied Mathematics
Additional Information
BISAC Categories:
- Mathematics | Transformations
- Mathematics | Differential Equations - General
- Mathematics | Functional Analysis
Dewey: 515.73
LCCN: 2012276325
Series: Chapman & Hall/CRC Pure and Applied Mathematics
Physical Information: 0.7" H x 6.2" W x 9.2" L (1.10 lbs) 234 pages
Features: Bibliography, Illustrated
 
Descriptions, Reviews, Etc.
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
 
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