Some results in function weighted b-metric spaces
In this paper, we introduce F-b-metric space (function weighted b-metric space) as a generalization of the F-metric space (the function weighted metric space). We also propose and prove some topological properties of the F-b-metric space, the theorems of fixed point and the common fixed point for th...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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AIMS Press
2023-02-01
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| Series: | AIMS Mathematics |
| Subjects: | |
| Online Access: | https://www.aimspress.com/article/doi/10.3934/math.2023417?viewType=HTML |
| _version_ | 1797905421901496320 |
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| author | Budi Nurwahyu Naimah Aris Firman |
| author_facet | Budi Nurwahyu Naimah Aris Firman |
| author_sort | Budi Nurwahyu |
| collection | DOAJ |
| description | In this paper, we introduce F-b-metric space (function weighted b-metric space) as a generalization of the F-metric space (the function weighted metric space). We also propose and prove some topological properties of the F-b-metric space, the theorems of fixed point and the common fixed point for the generalized expansive mappings, and an application on dynamic programing. |
| first_indexed | 2024-04-10T10:06:11Z |
| format | Article |
| id | doaj.art-da956c2f348f4f24ab239185cdd8de81 |
| institution | Directory Open Access Journal |
| issn | 2473-6988 |
| language | English |
| last_indexed | 2024-04-10T10:06:11Z |
| publishDate | 2023-02-01 |
| publisher | AIMS Press |
| record_format | Article |
| series | AIMS Mathematics |
| spelling | doaj.art-da956c2f348f4f24ab239185cdd8de812023-02-16T01:12:32ZengAIMS PressAIMS Mathematics2473-69882023-02-01848274829310.3934/math.2023417Some results in function weighted b-metric spacesBudi Nurwahyu 0Naimah Aris1Firman2 Department of Mathematics, Hasanuddin University, Tamalanrea KM 10, Makassar, Indonesia Department of Mathematics, Hasanuddin University, Tamalanrea KM 10, Makassar, IndonesiaDepartment of Mathematics, Hasanuddin University, Tamalanrea KM 10, Makassar, IndonesiaIn this paper, we introduce F-b-metric space (function weighted b-metric space) as a generalization of the F-metric space (the function weighted metric space). We also propose and prove some topological properties of the F-b-metric space, the theorems of fixed point and the common fixed point for the generalized expansive mappings, and an application on dynamic programing.https://www.aimspress.com/article/doi/10.3934/math.2023417?viewType=HTMLfixed pointcommon fixed pointfunction weighted metricfunction weighted b-metricexpansive mapping |
| spellingShingle | Budi Nurwahyu Naimah Aris Firman Some results in function weighted b-metric spaces AIMS Mathematics fixed point common fixed point function weighted metric function weighted b-metric expansive mapping |
| title | Some results in function weighted b-metric spaces |
| title_full | Some results in function weighted b-metric spaces |
| title_fullStr | Some results in function weighted b-metric spaces |
| title_full_unstemmed | Some results in function weighted b-metric spaces |
| title_short | Some results in function weighted b-metric spaces |
| title_sort | some results in function weighted b metric spaces |
| topic | fixed point common fixed point function weighted metric function weighted b-metric expansive mapping |
| url | https://www.aimspress.com/article/doi/10.3934/math.2023417?viewType=HTML |
| work_keys_str_mv | AT budinurwahyu someresultsinfunctionweightedbmetricspaces AT naimaharis someresultsinfunctionweightedbmetricspaces AT firman someresultsinfunctionweightedbmetricspaces |