Topological fixed point theory of multivalued mappings

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 ma...

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第一著者: Górniewicz, Lech, 19..-
フォーマット: Livre numérique
言語:Anglais
出版事項: Dordrecht : Springer Netherlands [20..].
Cham : Springer Nature
シリーズ:Topological Fixed Point Theory and Its Applications 4
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注記: Description d'après consultation du 29 avril 2011
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Edition sous un autre format:• Topological fixed point theory of multivalued mappings, by Lech Górniewicz,..., 2nd ed., Dordrecht, Springer, 2006, 1 vol. (X-538 p.), Topological fixed point theory and its applications, 1-4020-4665-0
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245 1 0 |a Topological fixed point theory of multivalued mappings   |c by Lech Górniewicz,... 
260 |a Dordrecht :  |b Springer Netherlands. 
260 |a Cham :  |b Springer Nature,  |c [20..]. 
490 0 |a Topological Fixed Point Theory and Its Applications  |v 4 
500 |a Description d'après consultation du 29 avril 2011 
500 |a Archives Springer e-books (Licence nationale) 
500 |a Archives Springer e-books (Licence nationale) 
504 |a Bibliogr. p. [511]-534. Index 
505 1 |a 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 
506 |a Accès en ligne pour les établissements français bénéficiaires des licences nationales 
506 |a Accès soumis à abonnement pour tout autre établissement 
506 |a Conditions particulières de réutilisation pour les bénéficiaires des licences nationales. https://www.licencesnationales.fr/springer-nature-ebooks-contrat-licence-ln-2017 
520 |a 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 
650 |a Topologie algébrique 
650 |a Théorie des opérateurs 
650 |a Théorème du point fixe 
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