Fixed-Point Results for Generalized Rational Contractions in Graphical b-Metric Spaces with Applications
The aim of this paper is to define generalized rational contractions in the setting of graphical b-metric spaces and obtain some fixed-point theorems. Our results are significant generalizations and extensions of some well-known results in the existing theory. We also supply a nontrivial example to...
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| Format: | Article |
| Language: | English |
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Wiley
2023-01-01
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| Series: | Journal of Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2023/4105842 |
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| _version_ | 1832546780575694848 |
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| author | Amer Hassan Albargi |
| author_facet | Amer Hassan Albargi |
| author_sort | Amer Hassan Albargi |
| collection | DOAJ |
| description | The aim of this paper is to define generalized rational contractions in the setting of graphical b-metric spaces and obtain some fixed-point theorems. Our results are significant generalizations and extensions of some well-known results in the existing theory. We also supply a nontrivial example to show the validity of the obtained theorems. As applications, we obtain some results on rational expressions in the background of graphical metric spaces. |
| format | Article |
| id | doaj-art-0046ae960ca949ccab388e63df0a3a70 |
| institution | Kabale University |
| issn | 2314-4785 |
| language | English |
| publishDate | 2023-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Mathematics |
| spelling | doaj-art-0046ae960ca949ccab388e63df0a3a702025-02-03T06:47:15ZengWileyJournal of Mathematics2314-47852023-01-01202310.1155/2023/4105842Fixed-Point Results for Generalized Rational Contractions in Graphical b-Metric Spaces with ApplicationsAmer Hassan Albargi0Department of MathematicsThe aim of this paper is to define generalized rational contractions in the setting of graphical b-metric spaces and obtain some fixed-point theorems. Our results are significant generalizations and extensions of some well-known results in the existing theory. We also supply a nontrivial example to show the validity of the obtained theorems. As applications, we obtain some results on rational expressions in the background of graphical metric spaces.http://dx.doi.org/10.1155/2023/4105842 |
| spellingShingle | Amer Hassan Albargi Fixed-Point Results for Generalized Rational Contractions in Graphical b-Metric Spaces with Applications Journal of Mathematics |
| title | Fixed-Point Results for Generalized Rational Contractions in Graphical b-Metric Spaces with Applications |
| title_full | Fixed-Point Results for Generalized Rational Contractions in Graphical b-Metric Spaces with Applications |
| title_fullStr | Fixed-Point Results for Generalized Rational Contractions in Graphical b-Metric Spaces with Applications |
| title_full_unstemmed | Fixed-Point Results for Generalized Rational Contractions in Graphical b-Metric Spaces with Applications |
| title_short | Fixed-Point Results for Generalized Rational Contractions in Graphical b-Metric Spaces with Applications |
| title_sort | fixed point results for generalized rational contractions in graphical b metric spaces with applications |
| url | http://dx.doi.org/10.1155/2023/4105842 |
| work_keys_str_mv | AT amerhassanalbargi fixedpointresultsforgeneralizedrationalcontractionsingraphicalbmetricspaceswithapplications |