A Study on Fixed Circles in $ \phi $-Metric Spaces
Our present work is the extension of the line of research in the context of $\phi$-metric spaces. We introduce the notion of fixed circle and obtain suitable conditions for the existence and uniqueness of fixed circles for self mappings. Additionally, we present some figures and examples in support...
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| Format: | Article |
| Language: | English |
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University of Maragheh
2024-03-01
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| Series: | Sahand Communications in Mathematical Analysis |
| Subjects: | |
| Online Access: | https://scma.maragheh.ac.ir/article_709664_0521929339f0a0b8842d1afac904aa9f.pdf |
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| _version_ | 1823859378086739968 |
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| author | Abhishikta Das Tarapada Bag |
| author_facet | Abhishikta Das Tarapada Bag |
| author_sort | Abhishikta Das |
| collection | DOAJ |
| description | Our present work is the extension of the line of research in the context of $\phi$-metric spaces. We introduce the notion of fixed circle and obtain suitable conditions for the existence and uniqueness of fixed circles for self mappings. Additionally, we present some figures and examples in support of our results. |
| format | Article |
| id | doaj-art-19f5e78b3fbe428999a3b5c034d7f166 |
| institution | Kabale University |
| issn | 2322-5807 2423-3900 |
| language | English |
| publishDate | 2024-03-01 |
| publisher | University of Maragheh |
| record_format | Article |
| series | Sahand Communications in Mathematical Analysis |
| spelling | doaj-art-19f5e78b3fbe428999a3b5c034d7f1662025-02-11T05:24:46ZengUniversity of MaraghehSahand Communications in Mathematical Analysis2322-58072423-39002024-03-0121223525010.22130/scma.2023.2006518.1376709664A Study on Fixed Circles in $ \phi $-Metric SpacesAbhishikta Das0Tarapada Bag1Department of Mathematics, Siksha-Bhavana, Visva-Bharati, Santiniketan-731235, West Bengal, India.Department of Mathematics, Siksha-Bhavana, Visva-Bharati, Santiniketan-731235, West Bengal, India.Our present work is the extension of the line of research in the context of $\phi$-metric spaces. We introduce the notion of fixed circle and obtain suitable conditions for the existence and uniqueness of fixed circles for self mappings. Additionally, we present some figures and examples in support of our results.https://scma.maragheh.ac.ir/article_709664_0521929339f0a0b8842d1afac904aa9f.pdfφ-metricfixed pointfixed circlebanach type contraction |
| spellingShingle | Abhishikta Das Tarapada Bag A Study on Fixed Circles in $ \phi $-Metric Spaces Sahand Communications in Mathematical Analysis φ-metric fixed point fixed circle banach type contraction |
| title | A Study on Fixed Circles in $ \phi $-Metric Spaces |
| title_full | A Study on Fixed Circles in $ \phi $-Metric Spaces |
| title_fullStr | A Study on Fixed Circles in $ \phi $-Metric Spaces |
| title_full_unstemmed | A Study on Fixed Circles in $ \phi $-Metric Spaces |
| title_short | A Study on Fixed Circles in $ \phi $-Metric Spaces |
| title_sort | study on fixed circles in phi metric spaces |
| topic | φ-metric fixed point fixed circle banach type contraction |
| url | https://scma.maragheh.ac.ir/article_709664_0521929339f0a0b8842d1afac904aa9f.pdf |
| work_keys_str_mv | AT abhishiktadas astudyonfixedcirclesinphimetricspaces AT tarapadabag astudyonfixedcirclesinphimetricspaces AT abhishiktadas studyonfixedcirclesinphimetricspaces AT tarapadabag studyonfixedcirclesinphimetricspaces |