This book provides a clear exposition of the flourishing field of
fixed point theory. Starting from the basics of Banach's
contraction theorem, most of the main results and techniques are
developed: fixed point results are established for several classes
of maps and the three main approaches to establishing continuation
principles are presented. The theory is applied to many areas of
interest in analysis. Topological considerations play a crucial
role, including a final chapter on the relationship with degree
theory. Researchers and graduate students in applicable analysis
will find this to be a useful survey of the fundamental principles
of the subject. 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.
General
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