Nb-Fuzzy Metric Spaces With Topological Properties and Applications
| dc.contributor.author | Isik, Huseyin | |
| dc.contributor.author | Malviya, Neeraj | |
| dc.contributor.author | Jarad, Fahd | |
| dc.contributor.author | Fernandez, Jerolina | |
| dc.date.accessioned | 2024-01-12T11:49:29Z | |
| dc.date.accessioned | 2025-09-18T12:08:30Z | |
| dc.date.available | 2024-01-12T11:49:29Z | |
| dc.date.available | 2025-09-18T12:08:30Z | |
| dc.date.issued | 2023 | |
| dc.description | Isik, Huseyin/0000-0001-7558-4088; Fernandez, Dr. Jerolina/0000-0002-2807-9596 | en_US |
| dc.description.abstract | Our aim is to introduce the notion of Nb-fuzzy metric space (FMS). We also define quasi N-FMS, and pseudo Nb-FMS with examples and counterexamples and prove a decomposition theorem for pseudo Nb-FMS. We prove various theorems related to the convergence of sequences and analyze topology of symmetric Nb-FMS. At last, we provide an application of q-contraction mapping as a Banach contraction principle (BCP) in the structure of symmetric Nb-FMS and applied it in the solution of integral equations and linear equations. | en_US |
| dc.identifier.citation | Fernandez, Jerolina;...et.al. (2023). "Nb-fuzzy metric spaces with topological properties and applications", AIMS Mathematics, Vol.8, No.3, pp.5879-5898. | en_US |
| dc.identifier.doi | 10.3934/math.2023296 | |
| dc.identifier.issn | 2473-6988 | |
| dc.identifier.scopus | 2-s2.0-85144982344 | |
| dc.identifier.uri | https://doi.org/10.3934/math.2023296 | |
| dc.identifier.uri | https://hdl.handle.net/20.500.12416/11150 | |
| dc.language.iso | en | en_US |
| dc.publisher | Amer inst Mathematical Sciences-aims | en_US |
| dc.relation.ispartof | AIMS Mathematics | |
| dc.rights | info:eu-repo/semantics/openAccess | en_US |
| dc.subject | Nb-Fuzzy Metric Space | en_US |
| dc.subject | Pseudo Nb-Fuzzy Metric Space | en_US |
| dc.subject | Q-Contraction | en_US |
| dc.subject | Quasi N-Fuzzy Metric Space | en_US |
| dc.title | Nb-Fuzzy Metric Spaces With Topological Properties and Applications | en_US |
| dc.title | Nb-fuzzy metric spaces with topological properties and applications | tr_TR |
| dc.type | Article | en_US |
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| gdc.author.id | Isik, Huseyin/0000-0001-7558-4088 | |
| gdc.author.id | Fernandez, Dr. Jerolina/0000-0002-2807-9596 | |
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| gdc.author.wosid | Jarad, Fahd/T-8333-2018 | |
| gdc.author.wosid | Isik, Huseyin/P-5030-2019 | |
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| gdc.description.department | Çankaya University | en_US |
| gdc.description.departmenttemp | [Fernandez, Jerolina] Bhopal Sch Social Sci, Dept Math & Stat, Bhopal, Madhya Pradesh, India; [Isik, Huseyin] Bandirma Onyedi Eylul Univ, Dept Engn Sci, TR-10200 Bandirma, Balikesir, Turkiye; [Malviya, Neeraj] Govt Coll, Dept Math, Timarni, Madhya Pradesh, India; [Jarad, Fahd] Cankaya Univ, Dept Math, TR-06790 Ankara, Turkiye; [Jarad, Fahd] China Med Univ Hosp, China Med Univ, Dept Med Res, Taichung 40402, Taiwan | en_US |
| gdc.description.endpage | 5898 | en_US |
| gdc.description.issue | 3 | en_US |
| gdc.description.publicationcategory | Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı | en_US |
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| gdc.description.startpage | 5879 | en_US |
| gdc.description.volume | 8 | en_US |
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| gdc.oaire.keywords | Counterexample | |
| gdc.oaire.keywords | Cone Metric Spaces | |
| gdc.oaire.keywords | q-contraction | |
| gdc.oaire.keywords | Metric Spaces | |
| gdc.oaire.keywords | Fixed Point Theorems in Metric Spaces | |
| gdc.oaire.keywords | pseudo n<sub>b</sub>-fuzzy metric space | |
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| gdc.oaire.keywords | Internal medicine | |
| gdc.oaire.keywords | Topology (electrical circuits) | |
| gdc.oaire.keywords | n<sub>b</sub>-fuzzy metric space | |
| gdc.oaire.keywords | Banach space | |
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| gdc.oaire.keywords | quasi n-fuzzy metric space | |
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| gdc.oaire.keywords | Contraction (grammar) | |
| gdc.oaire.keywords | Medicine | |
| gdc.oaire.keywords | Geometry and Topology | |
| gdc.oaire.keywords | Fuzzy Metric Spaces | |
| gdc.oaire.keywords | Metric space | |
| gdc.oaire.keywords | Mathematics | |
| gdc.oaire.keywords | Topological space | |
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