New Fixed Point Results for Some Rational Contraction on $(\phi , \psi)$-Metric Spaces
In this article, we define generalized $(\varphi,\sigma,\gamma)$-rational contraction, generalized $(\alpha\beta,\varphi\theta,F)$-rational contraction and establish some new fixed point results in $(\phi,\psi)$-metric space. We also present instances to support our main results. We will use the...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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University of Maragheh
2024-01-01
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| Series: | Sahand Communications in Mathematical Analysis |
| Subjects: | |
| Online Access: | https://scma.maragheh.ac.ir/article_706752_e96789249de2f33ba493080f8d2d5f86.pdf |
| _version_ | 1797359802210320384 |
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| author | Mohammed Mohammed Taleb V. Borkar |
| author_facet | Mohammed Mohammed Taleb V. Borkar |
| author_sort | Mohammed Mohammed Taleb |
| collection | DOAJ |
| description | In this article, we define generalized $(\varphi,\sigma,\gamma)$-rational contraction, generalized $(\alpha\beta,\varphi\theta,F)$-rational contraction and establish some new fixed point results in $(\phi,\psi)$-metric space. We also present instances to support our main results. We will use the results we obtained to investigate the existence and uniqueness of solutions to first-order differential equations. |
| first_indexed | 2024-03-08T15:30:02Z |
| format | Article |
| id | doaj.art-f4e697d58a5a4b58ba6df69e2e889eb1 |
| institution | Directory Open Access Journal |
| issn | 2322-5807 2423-3900 |
| language | English |
| last_indexed | 2024-03-08T15:30:02Z |
| publishDate | 2024-01-01 |
| publisher | University of Maragheh |
| record_format | Article |
| series | Sahand Communications in Mathematical Analysis |
| spelling | doaj.art-f4e697d58a5a4b58ba6df69e2e889eb12024-01-10T07:27:09ZengUniversity of MaraghehSahand Communications in Mathematical Analysis2322-58072423-39002024-01-01211476610.22130/scma.2023.1971215.1191706752New Fixed Point Results for Some Rational Contraction on $(\phi , \psi)$-Metric SpacesMohammed Mohammed Taleb0V. Borkar1Department of Mathematics, Science College, Swami Ramanand Teerth Marathwada University, Nanded-431606, India.Department of Mathematics, Yeshwant Mahavidyalaya, Swami Ramanand Teerth Marathwada University, Nanded-431606, India.In this article, we define generalized $(\varphi,\sigma,\gamma)$-rational contraction, generalized $(\alpha\beta,\varphi\theta,F)$-rational contraction and establish some new fixed point results in $(\phi,\psi)$-metric space. We also present instances to support our main results. We will use the results we obtained to investigate the existence and uniqueness of solutions to first-order differential equations.https://scma.maragheh.ac.ir/article_706752_e96789249de2f33ba493080f8d2d5f86.pdffixed point(ϕψ)-metric spacegeneralized (ϕσγ)-rational contractiongeneralized (αβϕθf)-rational contractionfirst order differential equations |
| spellingShingle | Mohammed Mohammed Taleb V. Borkar New Fixed Point Results for Some Rational Contraction on $(\phi , \psi)$-Metric Spaces Sahand Communications in Mathematical Analysis fixed point (ϕ ψ)-metric space generalized (ϕ σ γ)-rational contraction generalized (α β ϕ θ f)-rational contraction first order differential equations |
| title | New Fixed Point Results for Some Rational Contraction on $(\phi , \psi)$-Metric Spaces |
| title_full | New Fixed Point Results for Some Rational Contraction on $(\phi , \psi)$-Metric Spaces |
| title_fullStr | New Fixed Point Results for Some Rational Contraction on $(\phi , \psi)$-Metric Spaces |
| title_full_unstemmed | New Fixed Point Results for Some Rational Contraction on $(\phi , \psi)$-Metric Spaces |
| title_short | New Fixed Point Results for Some Rational Contraction on $(\phi , \psi)$-Metric Spaces |
| title_sort | new fixed point results for some rational contraction on phi psi metric spaces |
| topic | fixed point (ϕ ψ)-metric space generalized (ϕ σ γ)-rational contraction generalized (α β ϕ θ f)-rational contraction first order differential equations |
| url | https://scma.maragheh.ac.ir/article_706752_e96789249de2f33ba493080f8d2d5f86.pdf |
| work_keys_str_mv | AT mohammedmohammedtaleb newfixedpointresultsforsomerationalcontractiononphipsimetricspaces AT vborkar newfixedpointresultsforsomerationalcontractiononphipsimetricspaces |