An equivalence of results in $C^*$-algebra valued b-metric and b-metric spaces
We construct a $b$-metric from a given $C^*$-algebra-valued $b$-metric and prove some equivalences between them. Then we show that not only fixed point results but also topological properties on $C^*$-algebra-valued $b$-metric spaces may be deduced from certain results in $b$-metric spaces. In parti...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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Universitat Politècnica de València
2017-10-01
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| Series: | Applied General Topology |
| Subjects: | |
| Online Access: | https://polipapers.upv.es/index.php/AGT/article/view/5185 |
| _version_ | 1818943913968271360 |
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| author | Nguyen Van Dung Vo Thi Le Hang Diana Dolicanin-Djekic |
| author_facet | Nguyen Van Dung Vo Thi Le Hang Diana Dolicanin-Djekic |
| author_sort | Nguyen Van Dung |
| collection | DOAJ |
| description | We construct a $b$-metric from a given $C^*$-algebra-valued $b$-metric and prove some equivalences between them. Then we show that not only fixed point results but also topological properties on $C^*$-algebra-valued $b$-metric spaces may be deduced from certain results in $b$-metric spaces. In particular, every $C^*$-algebra-valued $b$-metric space is metrizable. |
| first_indexed | 2024-12-20T07:34:53Z |
| format | Article |
| id | doaj.art-776b75d1602940339968c222f8b9c966 |
| institution | Directory Open Access Journal |
| issn | 1576-9402 1989-4147 |
| language | English |
| last_indexed | 2024-12-20T07:34:53Z |
| publishDate | 2017-10-01 |
| publisher | Universitat Politècnica de València |
| record_format | Article |
| series | Applied General Topology |
| spelling | doaj.art-776b75d1602940339968c222f8b9c9662022-12-21T19:48:18ZengUniversitat Politècnica de ValènciaApplied General Topology1576-94021989-41472017-10-0118224125310.4995/agt.2017.51856088An equivalence of results in $C^*$-algebra valued b-metric and b-metric spacesNguyen Van Dung0Vo Thi Le Hang1Diana Dolicanin-Djekic2Ton Duc Thang UniversityDong Thap UniversityUniversity of Pristina-Kosovska MitrovicaWe construct a $b$-metric from a given $C^*$-algebra-valued $b$-metric and prove some equivalences between them. Then we show that not only fixed point results but also topological properties on $C^*$-algebra-valued $b$-metric spaces may be deduced from certain results in $b$-metric spaces. In particular, every $C^*$-algebra-valued $b$-metric space is metrizable.https://polipapers.upv.es/index.php/AGT/article/view/5185metricb-metric$C^*$-algebra-valued metric$C^*$-algebra-valued b-metricfixed point. |
| spellingShingle | Nguyen Van Dung Vo Thi Le Hang Diana Dolicanin-Djekic An equivalence of results in $C^*$-algebra valued b-metric and b-metric spaces Applied General Topology metric b-metric $C^*$-algebra-valued metric $C^*$-algebra-valued b-metric fixed point. |
| title | An equivalence of results in $C^*$-algebra valued b-metric and b-metric spaces |
| title_full | An equivalence of results in $C^*$-algebra valued b-metric and b-metric spaces |
| title_fullStr | An equivalence of results in $C^*$-algebra valued b-metric and b-metric spaces |
| title_full_unstemmed | An equivalence of results in $C^*$-algebra valued b-metric and b-metric spaces |
| title_short | An equivalence of results in $C^*$-algebra valued b-metric and b-metric spaces |
| title_sort | equivalence of results in c algebra valued b metric and b metric spaces |
| topic | metric b-metric $C^*$-algebra-valued metric $C^*$-algebra-valued b-metric fixed point. |
| url | https://polipapers.upv.es/index.php/AGT/article/view/5185 |
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