On Suzuki-Proinov Type Contractions in Modular $b$-Metric Spaces with an Application
In this paper, by taking ${{\mathcal C}_\mathcal{A}}-$simulation function and Proinov type function into account, we set up a new contraction mapping called Suzuki$-$Proinov $\mathpzc{Z^*}_{\aE^*}^{\aR}(\alpha)-$contraction, including both rational expressions that possess quadratic terms and $\aE-$...
| Main Authors: | , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Emrah Evren KARA
2024-03-01
|
| Series: | Communications in Advanced Mathematical Sciences |
| Subjects: | |
| Online Access: | https://dergipark.org.tr/tr/download/article-file/3638419 |
| _version_ | 1797208822269345792 |
|---|---|
| author | Abdurrahman Büyükkaya Mahpeyker Öztürk |
| author_facet | Abdurrahman Büyükkaya Mahpeyker Öztürk |
| author_sort | Abdurrahman Büyükkaya |
| collection | DOAJ |
| description | In this paper, by taking ${{\mathcal C}_\mathcal{A}}-$simulation function and Proinov type function into account, we set up a new contraction mapping called Suzuki$-$Proinov $\mathpzc{Z^*}_{\aE^*}^{\aR}(\alpha)-$contraction, including both rational expressions that possess quadratic terms and $\aE-$type contractions. Furthermore, we demonstrate a common fixed point theorem through the mappings endowed with triangular $\alpha-$admissibility in the setting of modular $b-$metric spaces. Besides that, we achieve some new outcomes that contribute to the current ones in the literature through the main theorem, and, as an application, we examine the existence of solutions to a class of functional equations emerging in dynamic programming. |
| first_indexed | 2024-04-24T09:44:54Z |
| format | Article |
| id | doaj.art-e5f317a0232848f2972c55a2f39bff0e |
| institution | Directory Open Access Journal |
| issn | 2651-4001 |
| language | English |
| last_indexed | 2024-04-24T09:44:54Z |
| publishDate | 2024-03-01 |
| publisher | Emrah Evren KARA |
| record_format | Article |
| series | Communications in Advanced Mathematical Sciences |
| spelling | doaj.art-e5f317a0232848f2972c55a2f39bff0e2024-04-15T04:09:31ZengEmrah Evren KARACommunications in Advanced Mathematical Sciences2651-40012024-03-0171274110.33434/cams.14144111225On Suzuki-Proinov Type Contractions in Modular $b$-Metric Spaces with an ApplicationAbdurrahman Büyükkaya0Mahpeyker Öztürk1KARADENIZ TECHNICAL UNIVERSITYSAKARYA ÜNİVERSİTESİIn this paper, by taking ${{\mathcal C}_\mathcal{A}}-$simulation function and Proinov type function into account, we set up a new contraction mapping called Suzuki$-$Proinov $\mathpzc{Z^*}_{\aE^*}^{\aR}(\alpha)-$contraction, including both rational expressions that possess quadratic terms and $\aE-$type contractions. Furthermore, we demonstrate a common fixed point theorem through the mappings endowed with triangular $\alpha-$admissibility in the setting of modular $b-$metric spaces. Besides that, we achieve some new outcomes that contribute to the current ones in the literature through the main theorem, and, as an application, we examine the existence of solutions to a class of functional equations emerging in dynamic programming.https://dergipark.org.tr/tr/download/article-file/3638419common fixed pointdynamic programmingmodular $b-$metric spaceproinov type mappingssimulation functions |
| spellingShingle | Abdurrahman Büyükkaya Mahpeyker Öztürk On Suzuki-Proinov Type Contractions in Modular $b$-Metric Spaces with an Application Communications in Advanced Mathematical Sciences common fixed point dynamic programming modular $b-$metric space proinov type mappings simulation functions |
| title | On Suzuki-Proinov Type Contractions in Modular $b$-Metric Spaces with an Application |
| title_full | On Suzuki-Proinov Type Contractions in Modular $b$-Metric Spaces with an Application |
| title_fullStr | On Suzuki-Proinov Type Contractions in Modular $b$-Metric Spaces with an Application |
| title_full_unstemmed | On Suzuki-Proinov Type Contractions in Modular $b$-Metric Spaces with an Application |
| title_short | On Suzuki-Proinov Type Contractions in Modular $b$-Metric Spaces with an Application |
| title_sort | on suzuki proinov type contractions in modular b metric spaces with an application |
| topic | common fixed point dynamic programming modular $b-$metric space proinov type mappings simulation functions |
| url | https://dergipark.org.tr/tr/download/article-file/3638419 |
| work_keys_str_mv | AT abdurrahmanbuyukkaya onsuzukiproinovtypecontractionsinmodularbmetricspaceswithanapplication AT mahpeykerozturk onsuzukiproinovtypecontractionsinmodularbmetricspaceswithanapplication |