Lukasz Piasecki

Classification of Lipschitz Mappings (eBook, PDF)

• Format: PDF

Produktbeschreibung

This book presents a systematic, self-contained treatment of a new, more precise classification of Lipschitz mappings and its application in many topics of metric fixed point theory. The mean Lipschitz condition introduced by Goebel, Japon 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), and providing some new results in metric fixed point theory.

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Produktdetails

• Verlag: Taylor & Francis
• Seitenzahl: 232
• Erscheinungstermin: 19. April 2016
• Englisch
• ISBN-13: 9781466595224
• Artikelnr.: 40391982

Autorenporträt

Piasecki, ¿ukasz

Inhaltsangabe

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 > 1. Bibliography. Index.