Classification of Lipschitz mappings / Lukasz Piasecki.

Format:

Book

Author/Creator:

Piasecki, Łukasz, author.

Series:

Monographs and textbooks in pure and applied mathematics.

Pure and applied mathematics : a series of monographs and textbooks

Language:

English

Subjects (All):

Mappings (Mathematics).

Topology.

Physical Description:

1 online resource (234 p.)

Edition:

1st ed.

Place of Publication:

Boca Raton, FL : CRC Press, [2014]

Language Note:

English

Summary:

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 an

Contents:

Cover; Series; Dedication; Contents; Introduction; Chapter 1: The Lipschitz Condition; Chapter 2: Basic Facts on Banach Spaces; Chapter 3: Mean Lipschitz Condition; Chapter 4: On the Lipschitz Constants for Iterates of Mean Lipschitzian Mappings; Chapter 5: Subclasses Determined by p-averages; Chapter 6: Mean Contractions; Chapter 7: Nonexpansive Mappings in Banach Space; Chapter 8: Mean Nonexpansive Mappings; Chapter 9: Mean Lipschitzian Mappings with k > 1; Bibliography; Back Cover

Notes:

"A Chapman & Hall book."

Includes bibliographical references.

British Library not licensed to copy 0.

Description based on online resource; title from PDF title page (ebrary, viewed January 9, 2014).

ISBN:

1-04-021209-3

0-429-16917-5

1-4665-9522-1

9780429169175

OCLC:

865580408