Topological Fixed Point Theory of Multivalued Mappings

Lech Górniewicz (Autor)

Buch | Hardcover

538 Seiten

2006 | 2nd ed. 2006
Springer-Verlag New York Inc.
978-1-4020-4665-0 (ISBN)

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This book is an attempt to give a systematic presentation of results and me- ods which concern the ?xed point theory of multivalued mappings and some of its applications. In selecting the material we have restricted ourselves to stu- ing topological methods in the ?xed point theory of multivalued mappings and applications, mainly to di?erential inclusions. Thus in Chapter III the approximation (on the graph) method in ?xed point theory of multivalued mappings is presented. Chapter IV is devoted to the ho- logical methods and contains more general results, e.g. the Lefschetz Fixed Point Theorem, the ?xed point index and the topological degree theory. In Chapter V applications to some special problems in ?xed point theory are formulated. Then in the last chapter a direct applications to di?erential inclusions are presented. Note that Chapters I and II have an auxiliary character, and only results c- nected with the Banach Contraction Principle (see Chapter II) are strictly related to topological methods in the ?xed point theory. In the last section of our book (see Section 75) we give a bibliographicalguide and also signalsome further results which are not contained in our monograph. The author thanks several colleagues and my wife Maria who read and c- mented on the manuscript. These include J. Andres, A. Buraczewski, G. Gabor, A. G´orka,M.Go´rniewicz, S. Park and A. Wieczorek. The author wish to express his gratitude to P. Konstanty for preparing the electronic version of this monograph.

BACKGROUND IN TOPOLOGY.- MULTIVALUED MAPPINGS.- APPROXIMATION METHODS IN FIXED POINT THEORY OF MULTIVALUED MAPPINGS.- HOMOLOGICAL METHODS IN FIXED POINT THEORY OF MULTIVALUED MAPPINGS.- CONSEQUENCES AND APPLICATIONS.- FIXED POINT THEORY APPROACH TO DIFFERENTIAL INCLUSIONS.- RECENT RESULTS.

Reihe/Serie	Topological Fixed Point Theory and Its Applications ; 4
Zusatzinfo	XI, 538 p.
Verlagsort	New York, NY
Sprache	englisch
Maße	155 x 235 mm
Themenwelt	Mathematik / Informatik ► Mathematik ► Allgemeines / Lexika
	Mathematik / Informatik ► Mathematik ► Analysis
	Mathematik / Informatik ► Mathematik ► Geometrie / Topologie
ISBN-10	1-4020-4665-0 / 1402046650
ISBN-13	978-1-4020-4665-0 / 9781402046650
Zustand	Neuware