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Classification of Lipschitz Mappings
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Classification of Lipschitz Mappings

Classification of Lipschitz Mappings

ByLukasz Piasecki
Edition 1st Edition
First Published 2013
eBook Published 19 April 2016
Pub. location New York
Imprint Chapman and Hall/CRC
DOIhttps://doi.org/10.1201/b16137
Pages 232 pages
eBook ISBN 9781466595224
SubjectsMathematics & Statistics
Get Citation

Get Citation

Piasecki, L. (2014). Classification of Lipschitz Mappings. New York: Chapman and Hall/CRC, https://doi.org/10.1201/b16137
ABOUT THIS BOOK

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

TABLE OF CONTENTS
chapter |4 pages
Introduction
View abstract
chapter 1|6 pages
The Lipschitz Condition
View abstract
chapter 2|14 pages
Basic Facts on Banach Spaces
View abstract
chapter 3|16 pages
Mean Lipschitz Condition
View abstract
chapter 4|44 pages
On the Lipschitz Constants for Iterates of Mean Lipschitzian Mappings
View abstract
chapter 5|10 pages
Subclasses Determined by p-averages
View abstract
chapter 6|8 pages
Mean Contractions
View abstract
chapter 7|36 pages
Nonexpansive Mappings in Banach Space
View abstract
chapter 8|24 pages
Mean Nonexpansive Mappings
View abstract
chapter 9|54 pages
Mean Lipschitzian Mappings with k > 1
View abstract

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

TABLE OF CONTENTS
chapter |4 pages
Introduction
View abstract
chapter 1|6 pages
The Lipschitz Condition
View abstract
chapter 2|14 pages
Basic Facts on Banach Spaces
View abstract
chapter 3|16 pages
Mean Lipschitz Condition
View abstract
chapter 4|44 pages
On the Lipschitz Constants for Iterates of Mean Lipschitzian Mappings
View abstract
chapter 5|10 pages
Subclasses Determined by p-averages
View abstract
chapter 6|8 pages
Mean Contractions
View abstract
chapter 7|36 pages
Nonexpansive Mappings in Banach Space
View abstract
chapter 8|24 pages
Mean Nonexpansive Mappings
View abstract
chapter 9|54 pages
Mean Lipschitzian Mappings with k > 1
View abstract
CONTENTS
ABOUT THIS BOOK

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

TABLE OF CONTENTS
chapter |4 pages
Introduction
View abstract
chapter 1|6 pages
The Lipschitz Condition
View abstract
chapter 2|14 pages
Basic Facts on Banach Spaces
View abstract
chapter 3|16 pages
Mean Lipschitz Condition
View abstract
chapter 4|44 pages
On the Lipschitz Constants for Iterates of Mean Lipschitzian Mappings
View abstract
chapter 5|10 pages
Subclasses Determined by p-averages
View abstract
chapter 6|8 pages
Mean Contractions
View abstract
chapter 7|36 pages
Nonexpansive Mappings in Banach Space
View abstract
chapter 8|24 pages
Mean Nonexpansive Mappings
View abstract
chapter 9|54 pages
Mean Lipschitzian Mappings with k > 1
View abstract

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

TABLE OF CONTENTS
chapter |4 pages
Introduction
View abstract
chapter 1|6 pages
The Lipschitz Condition
View abstract
chapter 2|14 pages
Basic Facts on Banach Spaces
View abstract
chapter 3|16 pages
Mean Lipschitz Condition
View abstract
chapter 4|44 pages
On the Lipschitz Constants for Iterates of Mean Lipschitzian Mappings
View abstract
chapter 5|10 pages
Subclasses Determined by p-averages
View abstract
chapter 6|8 pages
Mean Contractions
View abstract
chapter 7|36 pages
Nonexpansive Mappings in Banach Space
View abstract
chapter 8|24 pages
Mean Nonexpansive Mappings
View abstract
chapter 9|54 pages
Mean Lipschitzian Mappings with k > 1
View abstract
ABOUT THIS BOOK
ABOUT THIS BOOK

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

TABLE OF CONTENTS
chapter |4 pages
Introduction
View abstract
chapter 1|6 pages
The Lipschitz Condition
View abstract
chapter 2|14 pages
Basic Facts on Banach Spaces
View abstract
chapter 3|16 pages
Mean Lipschitz Condition
View abstract
chapter 4|44 pages
On the Lipschitz Constants for Iterates of Mean Lipschitzian Mappings
View abstract
chapter 5|10 pages
Subclasses Determined by p-averages
View abstract
chapter 6|8 pages
Mean Contractions
View abstract
chapter 7|36 pages
Nonexpansive Mappings in Banach Space
View abstract
chapter 8|24 pages
Mean Nonexpansive Mappings
View abstract
chapter 9|54 pages
Mean Lipschitzian Mappings with k > 1
View abstract

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

TABLE OF CONTENTS
chapter |4 pages
Introduction
View abstract
chapter 1|6 pages
The Lipschitz Condition
View abstract
chapter 2|14 pages
Basic Facts on Banach Spaces
View abstract
chapter 3|16 pages
Mean Lipschitz Condition
View abstract
chapter 4|44 pages
On the Lipschitz Constants for Iterates of Mean Lipschitzian Mappings
View abstract
chapter 5|10 pages
Subclasses Determined by p-averages
View abstract
chapter 6|8 pages
Mean Contractions
View abstract
chapter 7|36 pages
Nonexpansive Mappings in Banach Space
View abstract
chapter 8|24 pages
Mean Nonexpansive Mappings
View abstract
chapter 9|54 pages
Mean Lipschitzian Mappings with k > 1
View abstract
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