The aim of this monograph is to give a unified account fo the classical topics in fixed point theory that lie on the border-line of topology and non-linear functional analysis, emphasizing the topological developments related to the Leray-Schauder theory. 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 Dugunji. The completionof this work has been awaited for many years by researchers in this area. "If the authors do equally well with the second volume they will have produced the best monograph in this particular field."Math Reviews

The theory of Fixed Points is one of the most powerful tools of modern mathematics. 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.

From the reviews: "I recommend this excellent volume on fixed point theory to anyone interested in this core subject of nonlinear analysis." --MATHEMATICAL REVIEWS