Classification of Lipschitz Mappings

Łukasz Piasecki (Autor)

Buch | Hardcover

234 Seiten

2013
Crc Press Inc (Verlag)
978-1-4665-9521-7 (ISBN)

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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 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

Piasecki, Łukasz

The Lipschitz Condition. Basic Facts on Banach Spaces. Mean Lipschitz Condition. On the Lipschitz Constants for Iterates of Mean Lipschitzian Mappings. Subclasses Determined by p-Averages. Mean Contractions. Nonexpansive Mappings in Banach Space. Mean Nonexpansive Mappings. Mean Lipschitzian Mappings with k > 1. Bibliography. Index.

Reihe/Serie	Chapman & Hall/CRC Monographs and Research Notes in Mathematics
Verlagsort	Bosa Roca
Sprache	englisch
Maße	156 x 234 mm
Gewicht	476 g
Themenwelt	Mathematik / Informatik ► Mathematik ► Analysis
ISBN-10	1-4665-9521-3 / 1466595213
ISBN-13	978-1-4665-9521-7 / 9781466595217
Zustand	Neuware