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https://doi.org/10.21256/zhaw-3994| Publikationstyp: | Beitrag in wissenschaftlicher Zeitschrift |
| Art der Begutachtung: | Peer review (Publikation) |
| Titel: | A differentiable characterization of local contractions on Banach spaces |
| Autor/-in: | Hefti, Andreas |
| DOI: | 10.21256/zhaw-3994 10.1186/s13663-015-0349-7 |
| Erschienen in: | Fixed Point Theory and Applications |
| Band(Heft): | 2015 |
| Heft: | 106 |
| Seite(n): | 1 |
| Seiten bis: | 5 |
| Erscheinungsdatum: | 2015 |
| Verlag / Hrsg. Institution: | Springer |
| ISSN: | 1687-1812 |
| Sprache: | Englisch |
| Schlagwörter: | Contraction mapping; Spectral radius; Attractive fixed point; Local stability; Difference equation |
| Zusammenfassung: | This note provides a differentiable characterization of local contractions on an arbitrary Banach space. As a corollary, a refinement to Ostrowski’s sufficient condition for local convergence in finite spaces is obtained, which applies to many models, e.g. in economics, ecology or game theory, where one has an interest in fixed point iterations and local stability of discrete dynamic processes. We show that for the local contraction property to hold, continuity of the derivative at the fixed point is indispensable. |
| URI: | https://digitalcollection.zhaw.ch/handle/11475/11176 |
| Volltext Version: | Publizierte Version |
| Lizenz (gemäss Verlagsvertrag): | CC BY 4.0: Namensnennung 4.0 International |
| Departement: | School of Management and Law |
| Organisationseinheit: | Zentrum für Energie und Umwelt (CEE) |
| Enthalten in den Sammlungen: | Publikationen School of Management and Law |
Dateien zu dieser Ressource:
| Datei | Beschreibung | Größe | Format | |
|---|---|---|---|---|
| s13663-015-0349-7.pdf | 1.32 MB | Adobe PDF |  Öffnen/Anzeigen |
Zur Langanzeige
Hefti, A. (2015). A differentiable characterization of local contractions on Banach spaces. Fixed Point Theory and Applications, 2015(106), 1–5. https://doi.org/10.21256/zhaw-3994
Hefti, A. (2015) ‘A differentiable characterization of local contractions on Banach spaces’, Fixed Point Theory and Applications, 2015(106), pp. 1–5. Available at: https://doi.org/10.21256/zhaw-3994.
A. Hefti, “A differentiable characterization of local contractions on Banach spaces,” Fixed Point Theory and Applications, vol. 2015, no. 106, pp. 1–5, 2015, doi: 10.21256/zhaw-3994.
HEFTI, Andreas, 2015. A differentiable characterization of local contractions on Banach spaces. Fixed Point Theory and Applications. 2015. Bd. 2015, Nr. 106, S. 1–5. DOI 10.21256/zhaw-3994
Hefti, Andreas. 2015. “A Differentiable Characterization of Local Contractions on Banach Spaces.” Fixed Point Theory and Applications 2015 (106): 1–5. https://doi.org/10.21256/zhaw-3994.
Hefti, Andreas. “A Differentiable Characterization of Local Contractions on Banach Spaces.” Fixed Point Theory and Applications, vol. 2015, no. 106, 2015, pp. 1–5, https://doi.org/10.21256/zhaw-3994.
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