This monograph gives a systematic presentation of classical and
recent results obtained in the last couple of years. It
comprehensively describes the methods concerning the topological
structure of fixed point sets and solution sets for differential
equations and inclusions. Many of the basic techniques and results
recently developed about this theory are presented, as well as the
literature that is disseminated and scattered in several papers of
pioneering researchers who developed the functional analytic
framework of this field over the past few decades. Several examples
of applications relating to initial and boundary value problems are
discussed in detail. The book is intended to advanced graduate
researchers and instructors active in research areas with interests
in topological properties of fixed point mappings and applications;
it also aims to provide students with the necessary understanding
of the subject with no deep background material needed. This
monograph fills the vacuum in the literature regarding the
topological structure of fixed point sets and its applications.
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