An Inevitable Note on Bipolar Metric Spaces
| dc.contributor.author | Cvetkovic, Marija | |
| dc.contributor.author | Karapinar, Erdal | |
| dc.date.accessioned | 2024-05-28T13:27:34Z | |
| dc.date.accessioned | 2025-09-18T16:07:11Z | |
| dc.date.available | 2024-05-28T13:27:34Z | |
| dc.date.available | 2025-09-18T16:07:11Z | |
| dc.date.issued | 2024 | |
| dc.description.abstract | Bipolar metric spaces and related fixed point theorems therein were introduced based on the motivation of measuring the distance between the elements of distinct sets. The question regarding the independence of these results from the analogous results on a fixed point of an induced mapping on a Cartesian product of two sets. We proved that bipolar metric space is metrizable and we presented two different approaches for defining a metric induced by a bipolar metric. Two obtained metric spaces demonstrated the lack of novelty of fixed point theorems for covariant and contravariant contraction. | en_US |
| dc.description.sponsorship | Ministry of Education, Science and Technological Development, Republic of Serbia [451-03-47/2023-01/200124] | en_US |
| dc.description.sponsorship | The second author is supported by Ministry of Education, Science and Technological Development, Republic of Serbia, no. 451-03-47/2023-01/200124. | en_US |
| dc.identifier.citation | Karapınar, Erdal; Cvetković, Marija (2024). "An inevitable note on bipolar metric spaces", AIMS Mathematics, Vol. 9, No. 2, pp. 3320-3331. | en_US |
| dc.identifier.doi | 10.3934/math.2024162 | |
| dc.identifier.issn | 2473-6988 | |
| dc.identifier.scopus | 2-s2.0-85181489580 | |
| dc.identifier.uri | https://doi.org/10.3934/math.2024162 | |
| dc.identifier.uri | https://hdl.handle.net/20.500.12416/14684 | |
| 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 | Metric | en_US |
| dc.subject | Bipolar Metric | en_US |
| dc.subject | Banach Contraction | en_US |
| dc.subject | Kannan Contraction | en_US |
| dc.title | An Inevitable Note on Bipolar Metric Spaces | en_US |
| dc.title | An inevitable note on bipolar metric spaces | tr_TR |
| dc.type | Article | en_US |
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| gdc.author.wosid | Karapinar, Erdal/H-3177-2011 | |
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| gdc.description.department | Çankaya University | en_US |
| gdc.description.departmenttemp | [Karapinar, Erdal] Cankaya Univ, Dept Math, Ankara, Turkiye; [Karapinar, Erdal] China Med Univ, China Med Univ Hosp, Dept Med Res, Taichung 40402, Taiwan; [Cvetkovic, Marija] Univ Nis, Fac Sci & Math, Visegradska 33, Nish 18000, Serbia | en_US |
| gdc.description.endpage | 3331 | en_US |
| gdc.description.issue | 2 | en_US |
| gdc.description.publicationcategory | Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı | en_US |
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| gdc.description.startpage | 3320 | en_US |
| gdc.description.volume | 9 | en_US |
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| gdc.oaire.keywords | kannan contraction | |
| gdc.oaire.keywords | metric | |
| gdc.oaire.keywords | Application of Soft Set Theory in Decision Making | |
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| gdc.oaire.keywords | Social Sciences | |
| gdc.oaire.keywords | Fixed point | |
| gdc.oaire.keywords | Separable space | |
| gdc.oaire.keywords | Management Science and Operations Research | |
| gdc.oaire.keywords | Discrete mathematics | |
| gdc.oaire.keywords | Mathematical analysis | |
| gdc.oaire.keywords | Metric Spaces | |
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| gdc.oaire.keywords | Metrization theorem | |
| gdc.oaire.keywords | banach contraction | |
| gdc.oaire.keywords | Fixed Point Theorems in Metric Spaces | |
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| gdc.oaire.keywords | bipolar metric | |
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| gdc.oaire.keywords | Cartesian product | |
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