The aim of this monograph is to give a unified account of the classical topics in fixed point theory that lie on the border-line of topology and non- linear functional analysis, emphasizing developments related to the Leray- Schauder theory. Using for the most part geometric methods, our study cen- ters around formulating those general principles of the theory that provide the foundation for many of the modern results in diverse areas of mathe- matics. The main text is self-contained for readers with a modest knowledge of topology and functional analysis; the necessary background material is...

The aim of this monograph is to give a unified account of the classical topics in fixed point theory that lie on the border-line of topology and non- linear functional analysis, emphasizing developments related to the Leray- Schauder theory. Using for the most part geometric methods, our study cen- ters around formulating those general principles of the theory that provide the foundation for many of the modern results in diverse areas of mathe- matics. The main text is self-contained for readers with a modest knowledge of topology and functional analysis; the necessary background material is...