An equivalence of results in C*-algebra valued b-metric and b-metric spaces
[EN] In this paper, we first construct ab-metric, which is a special type ofC∗-algebra-valuedb-metrics, from a givenC∗-algebra-valuedb-metricand prove some equivalences between them. Then we show that notonly fixed point results but also topological properties inC∗-algebra-valuedb-metric spaces may...
| Autores: | , , |
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| Tipo de recurso: | artículo |
| Fecha de publicación: | 2017 |
| País: | España |
| Institución: | Universitat Politècnica de València (UPV) |
| Repositorio: | RiuNet. Repositorio Institucional de la Universitat Politécnica de Valéncia |
| Idioma: | inglés |
| OAI Identifier: | oai:riunet.upv.es:10251/89581 |
| Acceso en línea: | https://riunet.upv.es/handle/10251/89581 |
| Access Level: | acceso abierto |
| Palabra clave: | Metric b-metric C∗-algebra-valued metric C∗-algebra-valued b-metric Fixed point |
| Sumario: | [EN] In this paper, we first construct ab-metric, which is a special type ofC∗-algebra-valuedb-metrics, from a givenC∗-algebra-valuedb-metricand prove some equivalences between them. Then we show that notonly fixed point results but also topological properties inC∗-algebra-valuedb-metric spaces may be deduced from certain results inb-metricspaces. In particular, everyC∗-algebra-valuedb-metric space is metriz-able. |
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