"Granas-Dugundji's book is an encyclopedic survey of the classical fixed
point theory of continuous mappings (the work of Poincaré, Brouwer,
Lefschetz-Hopf, Leray-Schauder) and all its various modern extensions.
This is certainly the most learned book ever likely to be published on
this subject."
-Felix Browder, Rutgers University
"The theory of Fixed Points is one of the most powerful tools of modern
mathematics. Not only is it used on a daily basis in pure and applied
mathematics, but it also serves as a bridge between Analysis and
Topology, and provides a very fruitful area of interaction between the
two. This book contains a clear, detailed and well-organized
presentation of the major results, together with an entertaining set of
historical notes and an extensive bibliography describing further
developments and applications."
-Haïm Brézis, Université Pierre et Marie Curie
"In this monograph, no effort has been spared, even to the smallest
detail, be it mathematical, historical or bibliographical. In
particular, the necessary background materials are generously provided
for non-specialists. In fact, the book could even serve as an
introduction to algebraic topology among others. It is certain that the
book will be a standard work on Fixed Point Theory for many years to
come."
-Isaac Namioka, University of Washington
This monograph gives a carefully worked out account of the most basic
principles and applications of the theory of fixed points. Until now, a
treatment of many of the discussed topics has been unavailable in book
form. The presentation is self-contained and is accessible to a broad
spectrum of readers. The main text is complemented by numerous
exercises, detailed comments, and a comprehensive bibliography. The
first part of this book is based on "Fixed Point Theory I" which was
published by PWN, Warsaw in 1982. The second part follows the outline
conceived by Andrzej Granas and the late James Dugundji.
