Fixed point theory for lipschitzian-type mappings with applications
In recent years, the fixed point theory of Lipschitzian-type mappings has rapidly grown into an important field of study in both pure and applied mathematics. It has become one of the most essential tools in nonlinear functional analysis. This self-contained book provides the first systematic presen...
Αποθηκεύτηκε σε:
| Κύριοι συγγραφείς: | , , |
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| Μορφή: | Livre numérique |
| Γλώσσα: | Anglais |
| Έκδοση: |
New York, NY :
Springer New York : Springer e-books
[20..].
Cham : Springer Nature |
| Σειρά: | Topological Fixed Point Theory and Its Applications
6 |
| Θέματα: | |
| Διαθέσιμο Online: | Accès sur la plateforme de l'éditeur Accès sur la plateforme Istex Accès Université d'Orléans Accès INSA CVL |
| Σημείωση: |
Description d'après consultation du 20 septembre 2011 Archives Springer e-books (Licence nationale) Archives Springer e-books (Licence nationale) |
| Autres localisations: | Voir dans le Sudoc |
| Edition sous un autre format: | • Fixed point theory for Lipschitzian-type mappings with applications, by Ravi P. Agarwal,... Donal O'Regan,... and D.R. Sahu,..., Dordrecht, Springer, 2009, 1 vol (X-368 p.), Topological fixed point theory and its applications, 978-0-387-75817-6 |
| Περίληψη: | In recent years, the fixed point theory of Lipschitzian-type mappings has rapidly grown into an important field of study in both pure and applied mathematics. It has become one of the most essential tools in nonlinear functional analysis. This self-contained book provides the first systematic presentation of Lipschitzian-type mappings in metric and Banach spaces. The first chapter covers some basic properties of metric and Banach spaces. Geometric considerations of underlying spaces play a prominent role in developing and understanding the theory. The next two chapters provide background in terms of convexity, smoothness and geometric coefficients of Banach spaces including duality mappings and metric projection mappings. This is followed by results on existence of fixed points, approximation of fixed points by iterative methods and strong convergence theorems. The final chapter explores several applicable problems arising in related fields. This book can be used as a textbook and as a reference for graduate students, researchers and applied mathematicians working in nonlinear functional analysis, operator theory, approximations by iteration theory, convexity and related geometric topics, and best approximation theory |
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| Περιγραφή τεκμηρίου: | Description d'après consultation du 20 septembre 2011 Archives Springer e-books (Licence nationale) Archives Springer e-books (Licence nationale) |
| Βιβλιογραφία: | Bibliogr. Index |
| ISBN: | 9780387758183 |
| Πρόσβαση: | Accès en ligne pour les établissements français bénéficiaires des licences nationales Accès soumis à abonnement pour tout autre établissement Conditions particulières de réutilisation pour les bénéficiaires des licences nationales. https://www.licencesnationales.fr/springer-nature-ebooks-contrat-licence-ln-2017 |