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 papers collected in this volume are contributions to the 33rd session of the Seminaire de Mathematiques Superieures (SMS) on "Topological Methods in Differential Equations and Inclusions." This session of the SMS took place at the Universite de Montreal in July 1994 and was a NATO Advanced Study Institute (ASI). The aim of the ASI was to bring together a considerable group of young researchers from various parts of the world and to present to them coherent surveys of some of the most recent advances in this area of Nonlinear Analysis. During the meeting 89 mathematicians from 20 countries...

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...