Topological Fixed Point Principles for Boundary Value Problems

The book is devoted to the topological fixed point theory both for single-valued and multivalued mappings in locally convex spaces, including its application to boundary value problems for ordinary differential equations (inclusions) and to (multivalued) dynamical systems. It is the first monograph dealing with the topological fixed point theory in non-metric spaces. Although the theoretical material was tendentiously selected with respect to applications, the text is self-contained. Therefore, three appendices concerning almost-periodic and derivo-periodic single-valued (multivalued) functions and (multivalued) fractals are supplied to the main three chapters.

From the reviews:

"This book is the most complete and well written text so far on the applications of topological fixed point principles to boundary value problems for ordinary differential equations and differential inclusions. It is a unique monograph dealing with topological fixed point theory in the framework of non-metric spaces, and part of the material focuses on recent results of one author, or both of them." -- MATHEMATICAL REVIEWS

"The monograph is devoted to the topological fixed point theory ... . The book is self-contained and every chapter concludes by a section of Remarks and Comments ... . I believe that this monumental monograph will be extremely useful to postgraduates students and researchers in topological fixed point theory nonlinear analysis, nonlinear differential equations and inclusions ... . This book should stimulate a great deal of interest and research in topological methods in general and in their applications in particular." (Radu Precup, Studia universitatis Babes-Bolyai Mathematica, Vol. XLIX (1), 2004)