Some fixed point results for nonlinear contractive conditions in ordered proximity spaces with an application
In this article, we use the concept of proximity spaces to prove common fixed point results for mappings satisfying generalized ($ \psi $, $ \beta $)-Geraghty contraction type mapping in partially ordered proximity spaces. Finally, we investigate an application to endorse our results.
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| Format: | Article |
| Language: | English |
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AIMS Press
2023-04-01
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| Series: | AIMS Mathematics |
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| Online Access: | https://www.aimspress.com/article/doi/10.3934/math.2023743?viewType=HTML |
| _version_ | 1797837993544777728 |
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| author | Demet Binbaşıoǧlu |
| author_facet | Demet Binbaşıoǧlu |
| author_sort | Demet Binbaşıoǧlu |
| collection | DOAJ |
| description | In this article, we use the concept of proximity spaces to prove common fixed point results for mappings satisfying generalized ($ \psi $, $ \beta $)-Geraghty contraction type mapping in partially ordered proximity spaces. Finally, we investigate an application to endorse our results. |
| first_indexed | 2024-04-09T15:34:43Z |
| format | Article |
| id | doaj.art-ae40add677404c3fa1002670653f1d3b |
| institution | Directory Open Access Journal |
| issn | 2473-6988 |
| language | English |
| last_indexed | 2024-04-09T15:34:43Z |
| publishDate | 2023-04-01 |
| publisher | AIMS Press |
| record_format | Article |
| series | AIMS Mathematics |
| spelling | doaj.art-ae40add677404c3fa1002670653f1d3b2023-04-28T01:15:03ZengAIMS PressAIMS Mathematics2473-69882023-04-0186145411455710.3934/math.2023743Some fixed point results for nonlinear contractive conditions in ordered proximity spaces with an applicationDemet Binbaşıoǧlu0Department of Mathematics, Faculty of Arts and Sciences, Tokat Gaziosmanpaşa University, 60250, Tokat, TurkeyIn this article, we use the concept of proximity spaces to prove common fixed point results for mappings satisfying generalized ($ \psi $, $ \beta $)-Geraghty contraction type mapping in partially ordered proximity spaces. Finally, we investigate an application to endorse our results.https://www.aimspress.com/article/doi/10.3934/math.2023743?viewType=HTMLfixed pointcommon fixed point($ \psi $$ \beta $)-geraghty contractionproximity spaces |
| spellingShingle | Demet Binbaşıoǧlu Some fixed point results for nonlinear contractive conditions in ordered proximity spaces with an application AIMS Mathematics fixed point common fixed point ($ \psi $ $ \beta $)-geraghty contraction proximity spaces |
| title | Some fixed point results for nonlinear contractive conditions in ordered proximity spaces with an application |
| title_full | Some fixed point results for nonlinear contractive conditions in ordered proximity spaces with an application |
| title_fullStr | Some fixed point results for nonlinear contractive conditions in ordered proximity spaces with an application |
| title_full_unstemmed | Some fixed point results for nonlinear contractive conditions in ordered proximity spaces with an application |
| title_short | Some fixed point results for nonlinear contractive conditions in ordered proximity spaces with an application |
| title_sort | some fixed point results for nonlinear contractive conditions in ordered proximity spaces with an application |
| topic | fixed point common fixed point ($ \psi $ $ \beta $)-geraghty contraction proximity spaces |
| url | https://www.aimspress.com/article/doi/10.3934/math.2023743?viewType=HTML |
| work_keys_str_mv | AT demetbinbasıoglu somefixedpointresultsfornonlinearcontractiveconditionsinorderedproximityspaceswithanapplication |