Solving an integral equation via C ⋆ $\mathscr{C}^{\star}$ -algebra-valued partial b-metrics
Abstract In this paper, we prove some common coupled fixed-point theorems on complete C ⋆ $\mathscr{C}^{\star}$ -algebra-valued partial b-metric spaces. Some of the well-known facts in the literature are generalized and expanded by the results shown. An example to illustrate our findings is presente...
| Main Authors: | , , , , |
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| Format: | Article |
| Language: | English |
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SpringerOpen
2022-07-01
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| Series: | Fixed Point Theory and Algorithms for Sciences and Engineering |
| Subjects: | |
| Online Access: | https://doi.org/10.1186/s13663-022-00728-5 |
| _version_ | 1818510894776188928 |
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| author | J. Uma Maheswari A. Anbarasan M. Gunaseelan V. Parvaneh S. Hadi Bonab |
| author_facet | J. Uma Maheswari A. Anbarasan M. Gunaseelan V. Parvaneh S. Hadi Bonab |
| author_sort | J. Uma Maheswari |
| collection | DOAJ |
| description | Abstract In this paper, we prove some common coupled fixed-point theorems on complete C ⋆ $\mathscr{C}^{\star}$ -algebra-valued partial b-metric spaces. Some of the well-known facts in the literature are generalized and expanded by the results shown. An example to illustrate our findings is presented. We also explore some of the applications of our key results. |
| first_indexed | 2024-12-10T23:26:18Z |
| format | Article |
| id | doaj.art-718792f96a784dc4b657331191f27bc9 |
| institution | Directory Open Access Journal |
| issn | 2730-5422 |
| language | English |
| last_indexed | 2024-12-10T23:26:18Z |
| publishDate | 2022-07-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Fixed Point Theory and Algorithms for Sciences and Engineering |
| spelling | doaj.art-718792f96a784dc4b657331191f27bc92022-12-22T01:29:35ZengSpringerOpenFixed Point Theory and Algorithms for Sciences and Engineering2730-54222022-07-012022111410.1186/s13663-022-00728-5Solving an integral equation via C ⋆ $\mathscr{C}^{\star}$ -algebra-valued partial b-metricsJ. Uma Maheswari0A. Anbarasan1M. Gunaseelan2V. Parvaneh3S. Hadi Bonab4Department of Mathematics, St. Joseph’s College (Autonomous)Department of Mathematics, St. Charles College of Arts and ScienceDepartment of Mathematics, Saveetha School of Engineering, Saveetha Institute of Medical and Technical SciencesDepartment of Mathematics, Gilan-E-Gharb Branch, Islamic Azad UniversityDepartment of Mathematics, Ardabil Branch, Islamic Azad UniversityAbstract In this paper, we prove some common coupled fixed-point theorems on complete C ⋆ $\mathscr{C}^{\star}$ -algebra-valued partial b-metric spaces. Some of the well-known facts in the literature are generalized and expanded by the results shown. An example to illustrate our findings is presented. We also explore some of the applications of our key results.https://doi.org/10.1186/s13663-022-00728-5Coupled coincidence pointCoupled fixed pointC ⋆ $\mathscr{C}^{\star}$ -algebra-valued partial b-metric spacew-compatible |
| spellingShingle | J. Uma Maheswari A. Anbarasan M. Gunaseelan V. Parvaneh S. Hadi Bonab Solving an integral equation via C ⋆ $\mathscr{C}^{\star}$ -algebra-valued partial b-metrics Fixed Point Theory and Algorithms for Sciences and Engineering Coupled coincidence point Coupled fixed point C ⋆ $\mathscr{C}^{\star}$ -algebra-valued partial b-metric space w-compatible |
| title | Solving an integral equation via C ⋆ $\mathscr{C}^{\star}$ -algebra-valued partial b-metrics |
| title_full | Solving an integral equation via C ⋆ $\mathscr{C}^{\star}$ -algebra-valued partial b-metrics |
| title_fullStr | Solving an integral equation via C ⋆ $\mathscr{C}^{\star}$ -algebra-valued partial b-metrics |
| title_full_unstemmed | Solving an integral equation via C ⋆ $\mathscr{C}^{\star}$ -algebra-valued partial b-metrics |
| title_short | Solving an integral equation via C ⋆ $\mathscr{C}^{\star}$ -algebra-valued partial b-metrics |
| title_sort | solving an integral equation via c ⋆ mathscr c star algebra valued partial b metrics |
| topic | Coupled coincidence point Coupled fixed point C ⋆ $\mathscr{C}^{\star}$ -algebra-valued partial b-metric space w-compatible |
| url | https://doi.org/10.1186/s13663-022-00728-5 |
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