Classification of Lipschitz Mappings

ISBN-13: 9780367379049 / Angielski / Miękka / 2019 / 232 str.

Lukasz Piasecki

Opis

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, 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), and providing some new results in metric fixed point theory.

Spis treści

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.

O autorze

Piasecki, Łukasz