Controlled S-Metric-Type Spaces and Applications to Fractional Integrals
In this paper, we introduce controlled S-metric-type spaces and give some of their properties and examples. Moreover, we prove the Banach fixed point theorem and a more general fixed point theorem in this new space. Finally, using the new results, we give two applications on Riemann–Liouville fracti...
| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
| Published: |
MDPI AG
2023-05-01
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| Series: | Symmetry |
| Subjects: | |
| Online Access: | https://www.mdpi.com/2073-8994/15/5/1100 |
| _version_ | 1797598239871991808 |
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| author | Nilay Ekiz Yazici Ozgur Ege Nabil Mlaiki Aiman Mukheimer |
| author_facet | Nilay Ekiz Yazici Ozgur Ege Nabil Mlaiki Aiman Mukheimer |
| author_sort | Nilay Ekiz Yazici |
| collection | DOAJ |
| description | In this paper, we introduce controlled S-metric-type spaces and give some of their properties and examples. Moreover, we prove the Banach fixed point theorem and a more general fixed point theorem in this new space. Finally, using the new results, we give two applications on Riemann–Liouville fractional integrals and Atangana–Baleanu fractional integrals. |
| first_indexed | 2024-03-11T03:16:32Z |
| format | Article |
| id | doaj.art-961d4f32bd3848d98a7346e2dc2c2388 |
| institution | Directory Open Access Journal |
| issn | 2073-8994 |
| language | English |
| last_indexed | 2024-03-11T03:16:32Z |
| publishDate | 2023-05-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Symmetry |
| spelling | doaj.art-961d4f32bd3848d98a7346e2dc2c23882023-11-18T03:30:56ZengMDPI AGSymmetry2073-89942023-05-01155110010.3390/sym15051100Controlled S-Metric-Type Spaces and Applications to Fractional IntegralsNilay Ekiz Yazici0Ozgur Ege1Nabil Mlaiki2Aiman Mukheimer3Departments of Mathematics, Bursa Technical University, Yildirim, Bursa 16310, TurkeyDepartment of Mathematics, Ege University, Izmir 35100, TurkeyDepartment of Mathematics and Sciences, Prince Sultan University, Riyadh 11586, Saudi ArabiaDepartment of Mathematics and Sciences, Prince Sultan University, Riyadh 11586, Saudi ArabiaIn this paper, we introduce controlled S-metric-type spaces and give some of their properties and examples. Moreover, we prove the Banach fixed point theorem and a more general fixed point theorem in this new space. Finally, using the new results, we give two applications on Riemann–Liouville fractional integrals and Atangana–Baleanu fractional integrals.https://www.mdpi.com/2073-8994/15/5/1100fixed pointS-metriccontrolled metric typefractional integral |
| spellingShingle | Nilay Ekiz Yazici Ozgur Ege Nabil Mlaiki Aiman Mukheimer Controlled S-Metric-Type Spaces and Applications to Fractional Integrals Symmetry fixed point S-metric controlled metric type fractional integral |
| title | Controlled S-Metric-Type Spaces and Applications to Fractional Integrals |
| title_full | Controlled S-Metric-Type Spaces and Applications to Fractional Integrals |
| title_fullStr | Controlled S-Metric-Type Spaces and Applications to Fractional Integrals |
| title_full_unstemmed | Controlled S-Metric-Type Spaces and Applications to Fractional Integrals |
| title_short | Controlled S-Metric-Type Spaces and Applications to Fractional Integrals |
| title_sort | controlled s metric type spaces and applications to fractional integrals |
| topic | fixed point S-metric controlled metric type fractional integral |
| url | https://www.mdpi.com/2073-8994/15/5/1100 |
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