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

chapter |4 pages

Introduction

chapter 1|6 pages

The Lipschitz Condition

chapter 2|14 pages

Basic Facts on Banach Spaces

chapter 3|16 pages

Mean Lipschitz Condition

chapter 5|10 pages

Subclasses Determined by p-averages

chapter 6|8 pages

Mean Contractions

chapter 7|36 pages

Nonexpansive Mappings in Banach Space

chapter 8|24 pages

Mean Nonexpansive Mappings

chapter 9|54 pages

Mean Lipschitzian Mappings with k > 1