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Topological Fixed Point Theory and Its Applications

Topological Fixed Point Theory of Multivalued Mappings

Authors: Górniewicz, Lech

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  • ISBN 978-1-4020-4666-7
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Hardcover 124,79 €
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Softcover 103,99 €
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  • ISBN 978-94-007-8724-7
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About this book

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.

Table of contents (7 chapters)

Table of contents (7 chapters)
  • BACKGROUND IN TOPOLOGY

    Pages 1-60

    Górniewicz, Lech

  • MULTIVALUED MAPPINGS

    Pages 61-103

    Górniewicz, Lech

  • APPROXIMATION METHODS IN FIXED POINT THEORY OF MULTIVALUED MAPPINGS

    Pages 105-157

    Górniewicz, Lech

  • HOMOLOGICAL METHODS IN FIXED POINT THEORY OF MULTIVALUED MAPPINGS

    Pages 159-282

    Górniewicz, Lech

  • CONSEQUENCES AND APPLICATIONS

    Pages 283-349

    Górniewicz, Lech

Buy this book

eBook 83,29 €
price for Spain (gross)
  • ISBN 978-1-4020-4666-7
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover 124,79 €
price for Spain (gross)
  • ISBN 978-1-4020-4665-0
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
  • The final prices may differ from the prices shown due to specifics of VAT rules
Softcover 103,99 €
price for Spain (gross)
  • ISBN 978-94-007-8724-7
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
  • The final prices may differ from the prices shown due to specifics of VAT rules
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Bibliographic Information

Bibliographic Information
Book Title
Topological Fixed Point Theory of Multivalued Mappings
Authors
Series Title
Topological Fixed Point Theory and Its Applications
Series Volume
4
Copyright
2006
Publisher
Springer Netherlands
Copyright Holder
Springer Science+Business Media B.V.
eBook ISBN
978-1-4020-4666-7
DOI
10.1007/1-4020-4666-9
Hardcover ISBN
978-1-4020-4665-0
Softcover ISBN
978-94-007-8724-7
Edition Number
2
Number of Pages
XI, 538
Additional Information
Originally published as volume 495 in the series: Mathematics and Its Applications
Topics