On n-normed spaces
| Autor: | Hendra Gunawan, M. Mashadi |
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| Jazyk: | angličtina |
| Rok vydání: | 2001 |
| Předmět: | |
| Zdroj: | International Journal of Mathematics and Mathematical Sciences, Vol 27, Iss 10, Pp 631-639 (2001) |
| Druh dokumentu: | article |
| ISSN: | 0161-1712 1687-0425 01611712 |
| DOI: | 10.1155/S0161171201010675 |
| Popis: | Given an n-normed space with n≥2, we offer a simple way to derive an (n−1)-norm from the n-norm and realize that any n-normed space is an (n−1)-normed space. We also show that, in certain cases, the (n−1)-norm can be derived from the n-norm in such a way that the convergence and completeness in the n-norm is equivalent to those in the derived (n−1)-norm. Using this fact, we prove a fixed point theorem for some n-Banach spaces. |
| Databáze: | Directory of Open Access Journals |
| Externí odkaz: |
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