Book Details
Format
Kindle
Language
English
Published
Jan 28, 2005
Publisher
Cambridge University Press
ISBN-10
0511032587
ISBN-13
9780511032585
Description
This clear exposition of the flourishing field of fixed point theory, an important tool in the fields of differential equations and functional equations, starts from the basics of Banach's contraction theorem and develops most of the main results and techniques. The book explores many applications of the theory to analysis, with topological considerations playing a crucial role. The very extensive bibliography and close to 100 exercises mean that it can be used both as a text and as a comprehensive reference work, currently the only one of its type.