Homotopy methods in topological fixed and periodic points theory
The notion of a ?xed point plays a crucial role in numerous branches of mat- maticsand its applications. Informationabout the existence of such pointsis often the crucial argument in solving a problem. In particular, topological methods of ?xed point theory have been an increasing focus of interest...
محفوظ في:
| المؤلفون الرئيسيون: | , |
|---|---|
| التنسيق: | Livre numérique |
| اللغة: | Anglais |
| منشور في: |
Dordrecht :
Springer Netherlands
[20..].
Cham : Springer Nature |
| سلاسل: | Topological Fixed Point Theory and Its Applications
3 |
| الموضوعات: | |
| الوصول للمادة أونلاين: | Accès sur la plateforme de l'éditeur Accès sur la plateforme Istex Accès Université d'Orléans Accès INSA CVL |
| ملاحظة: |
Description d'après consultation du 01 avril 2011 Archives Springer e-books (Licence nationale) Archives Springer e-books (Licence nationale) |
| Autres localisations: | Voir dans le Sudoc |
| Edition sous un autre format: | • Homotopy methods in topological fixed and periodic points theory, by Jerzy Jezierski,... and Wacław Marzantowicz,..., Dordrecht, Springer, 2006, 1 vol. (XI-319 p.), Topological fixed point theory and its applications, 978-1-4020-3930-0 |
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| 001 | 938070 | ||
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| 009 | PPN123112990 | ||
| 020 | |a 9781402039317 | ||
| 020 | |a 9781402039317 | ||
| 041 | 0 | |a eng | |
| 082 | |a 514.2 | ||
| 100 | 1 | |a Jezierski, Jerzy, |d 1951- | |
| 245 | 1 | 0 | |a Homotopy methods in topological fixed and periodic points theory |c by Jerzy Jezierski,... and Waclaw Marzantowicz,... |
| 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 3 | |
| 500 | |a Description d'après consultation du 01 avril 2011 | ||
| 500 | |a Archives Springer e-books (Licence nationale) | ||
| 500 | |a Archives Springer e-books (Licence nationale) | ||
| 504 | |a Bibliogr. p. 305-310. Index | ||
| 505 | 1 | |a Fixed Point Problems Lefschetz-Hopf Fixed Point Theory Periodic Points by the Lefschetz Theory Nielsen Fixed Point Theory Periodic Points by the Nielsen Theory Homotopy Minimal Periods Related Topics and Applications | |
| 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 The notion of a ?xed point plays a crucial role in numerous branches of mat- maticsand its applications. Informationabout the existence of such pointsis often the crucial argument in solving a problem. In particular, topological methods of ?xed point theory have been an increasing focus of interest over the last century. These topological methods of ?xed point theory are divided, roughly speaking, into two types. The ?rst type includes such as the Banach Contraction Principle where the assumptions on the space can be very mild but a small change of the map can remove the ?xed point. The second type, on the other hand, such as the Brouwer and Lefschetz Fixed Point Theorems, give the existence of a ?xed point not only for a given map but also for any its deformations. This book is an exposition of a part of the topological ?xed and periodic point theory, of this second type, based on the notions of Lefschetz and Nielsen numbers. Since both notions are homotopyinvariants, the deformationis used as an essential method, and the assertions of theorems typically state the existence of ?xed or periodic points for every map of the whole homotopy class, we refer to them as homotopy methods of the topological ?xed and periodic point theory | ||
| 650 | |a Homotopie | ||
| 650 | |a Théorème du point fixe | ||
| 700 | 1 | |a Marzantowicz, Wacław. |4 aut | |
| 700 | 1 | |a Marzantowicz, Wacław. |4 aut | |
| 776 | 0 | |0 098986465 |t Homotopy methods in topological fixed and periodic points theory |f by Jerzy Jezierski,... and Wacław Marzantowicz,... |c Dordrecht |n Springer |d 2006 |p 1 vol. (XI-319 p.) |s Topological fixed point theory and its applications |z 978-1-4020-3930-0 | |
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