Classification of Lipschitz Mappings (Chapman & Hall/CRC Monographs and Research Notes in Mathematics) - Hardcover

Piasecki, Lukasz

Hardcover

ISBN 10: 1466595213 ISBN 13: 9781466595217

Publisher: Chapman and Hall/CRC, 2013

Synopsis

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

About this title

About the Author

Piasecki, Łukasz

Edition details

• Publisher: Chapman and Hall/CRC
• Publication date: 2013
• Language: English
• ISBN 10: 1466595213
• ISBN 13: 9781466595217
• Binding: Hardcover
• Edition number: 1
• Number of pages: 234