Extensions of $\varphi$-Fixed Point Results via $w$-Distance
In this paper, we obtain a $\varphi$-fixed point result concerning $w$-distance. There are three illustrative examples. In a separate section, we compare of the present result with that of the corresponding results prevalent in metric spaces and indicate certain new features obtained using $w$-dista...
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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 |
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| Online Access: | https://scma.maragheh.ac.ir/article_709663_127f5a131d953accad01568e5c80ad6f.pdf |
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| author | Subhadip Roy Parbati Saha Binayak S. Choudhury |
| author_facet | Subhadip Roy Parbati Saha Binayak S. Choudhury |
| author_sort | Subhadip Roy |
| collection | DOAJ |
| description | In this paper, we obtain a $\varphi$-fixed point result concerning $w$-distance. There are three illustrative examples. In a separate section, we compare of the present result with that of the corresponding results prevalent in metric spaces and indicate certain new features obtained using $w$-distance. One such feature is that under certain circumstances, the fixed point can be a point of discontinuity, which is impossible in the metric case. We give an application to non-linear integral equations. The paper ends with a conclusion. |
| format | Article |
| id | doaj-art-2e24212d28f1420b8f8f0d4c3e06e59e |
| 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-2e24212d28f1420b8f8f0d4c3e06e59e2025-02-11T05:24:46ZengUniversity of MaraghehSahand Communications in Mathematical Analysis2322-58072423-39002024-03-0121221923410.22130/scma.2023.2000881.1305709663Extensions of $\varphi$-Fixed Point Results via $w$-DistanceSubhadip Roy0Parbati Saha1Binayak S. Choudhury2Department of Mathematics, Indian Institute of Engineering Science and Technology, Shibpur, Howrah - 711103, India.Department of Mathematics, Indian Institute of Engineering Science and Technology, Shibpur, Howrah - 711103, India.Department of Mathematics, Indian Institute of Engineering Science and Technology, Shibpur, Howrah - 711103, India.In this paper, we obtain a $\varphi$-fixed point result concerning $w$-distance. There are three illustrative examples. In a separate section, we compare of the present result with that of the corresponding results prevalent in metric spaces and indicate certain new features obtained using $w$-distance. One such feature is that under certain circumstances, the fixed point can be a point of discontinuity, which is impossible in the metric case. We give an application to non-linear integral equations. The paper ends with a conclusion.https://scma.maragheh.ac.ir/article_709663_127f5a131d953accad01568e5c80ad6f.pdffixed pointmetric spaceφ-fixed pointw-distanceintegral equation |
| spellingShingle | Subhadip Roy Parbati Saha Binayak S. Choudhury Extensions of $\varphi$-Fixed Point Results via $w$-Distance Sahand Communications in Mathematical Analysis fixed point metric space φ-fixed point w-distance integral equation |
| title | Extensions of $\varphi$-Fixed Point Results via $w$-Distance |
| title_full | Extensions of $\varphi$-Fixed Point Results via $w$-Distance |
| title_fullStr | Extensions of $\varphi$-Fixed Point Results via $w$-Distance |
| title_full_unstemmed | Extensions of $\varphi$-Fixed Point Results via $w$-Distance |
| title_short | Extensions of $\varphi$-Fixed Point Results via $w$-Distance |
| title_sort | extensions of varphi fixed point results via w distance |
| topic | fixed point metric space φ-fixed point w-distance integral equation |
| url | https://scma.maragheh.ac.ir/article_709663_127f5a131d953accad01568e5c80ad6f.pdf |
| work_keys_str_mv | AT subhadiproy extensionsofvarphifixedpointresultsviawdistance AT parbatisaha extensionsofvarphifixedpointresultsviawdistance AT binayakschoudhury extensionsofvarphifixedpointresultsviawdistance |