Fixed Point Theorems on Controlled Orthogonal δ-Metric-Type Spaces and Applications to Fractional Integrals
In this article, we introduce a notion of controlled orthogonal δ-metric-type spaces with an example. Further, we prove a contraction theorem and a generalized fixed point theorem in controlled orthogonal δ-metric-type spaces. Finally, we illustrate two applications of the obtained fixed point resul...
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| Main Authors: | , , , , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2025-01-01
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| Series: | Journal of Function Spaces |
| Online Access: | http://dx.doi.org/10.1155/jofs/5560159 |
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| _version_ | 1832087944200978432 |
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| author | Benitha Wises Samuel Gunaseelan Mani Purushothaman Ganesh Sabri T. M. Thabet Imed Kedim |
| author_facet | Benitha Wises Samuel Gunaseelan Mani Purushothaman Ganesh Sabri T. M. Thabet Imed Kedim |
| author_sort | Benitha Wises Samuel |
| collection | DOAJ |
| description | In this article, we introduce a notion of controlled orthogonal δ-metric-type spaces with an example. Further, we prove a contraction theorem and a generalized fixed point theorem in controlled orthogonal δ-metric-type spaces. Finally, we illustrate two applications of the obtained fixed point results on the Atangana–Baleanu fractional integrals and the Riemann–Liouville fractional integrals. These applications showcase the versatility and efficacy of the developed theoretical framework in addressing real-world mathematical problems. |
| format | Article |
| id | doaj-art-24a9fde8f3644c069c52db03cd27c78f |
| institution | Kabale University |
| issn | 2314-8888 |
| language | English |
| publishDate | 2025-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Function Spaces |
| spelling | doaj-art-24a9fde8f3644c069c52db03cd27c78f2025-02-06T00:00:03ZengWileyJournal of Function Spaces2314-88882025-01-01202510.1155/jofs/5560159Fixed Point Theorems on Controlled Orthogonal δ-Metric-Type Spaces and Applications to Fractional IntegralsBenitha Wises Samuel0Gunaseelan Mani1Purushothaman Ganesh2Sabri T. M. Thabet3Imed Kedim4Department of MathematicsDepartment of MathematicsDepartment of MathematicsDepartment of MathematicsDepartment of MathematicsIn this article, we introduce a notion of controlled orthogonal δ-metric-type spaces with an example. Further, we prove a contraction theorem and a generalized fixed point theorem in controlled orthogonal δ-metric-type spaces. Finally, we illustrate two applications of the obtained fixed point results on the Atangana–Baleanu fractional integrals and the Riemann–Liouville fractional integrals. These applications showcase the versatility and efficacy of the developed theoretical framework in addressing real-world mathematical problems.http://dx.doi.org/10.1155/jofs/5560159 |
| spellingShingle | Benitha Wises Samuel Gunaseelan Mani Purushothaman Ganesh Sabri T. M. Thabet Imed Kedim Fixed Point Theorems on Controlled Orthogonal δ-Metric-Type Spaces and Applications to Fractional Integrals Journal of Function Spaces |
| title | Fixed Point Theorems on Controlled Orthogonal δ-Metric-Type Spaces and Applications to Fractional Integrals |
| title_full | Fixed Point Theorems on Controlled Orthogonal δ-Metric-Type Spaces and Applications to Fractional Integrals |
| title_fullStr | Fixed Point Theorems on Controlled Orthogonal δ-Metric-Type Spaces and Applications to Fractional Integrals |
| title_full_unstemmed | Fixed Point Theorems on Controlled Orthogonal δ-Metric-Type Spaces and Applications to Fractional Integrals |
| title_short | Fixed Point Theorems on Controlled Orthogonal δ-Metric-Type Spaces and Applications to Fractional Integrals |
| title_sort | fixed point theorems on controlled orthogonal δ metric type spaces and applications to fractional integrals |
| url | http://dx.doi.org/10.1155/jofs/5560159 |
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