Common Fixed Point Theorems on S-Metric Spaces for Integral Type Contractions Involving Rational Terms and Application to Fractional Integral Equation
It has been shown that the findings of d-metric spaces may be deduced from S-metric spaces by considering dϖ,ϰ=Λϖ,ϖ,ϰ. In this study, no such concepts that translate to the outcomes of metric spaces are considered. We establish standard fixed point theorems for integral type contractions involving r...
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| Format: | Article |
| Language: | English |
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Wiley
2024-01-01
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| Series: | Journal of Function Spaces |
| Online Access: | http://dx.doi.org/10.1155/2024/5108481 |
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| author | G. S. Saluja Hemant Kumar Nashine Reena Jain Rabha W. Ibrahim Hossam A. Nabwey |
| author_facet | G. S. Saluja Hemant Kumar Nashine Reena Jain Rabha W. Ibrahim Hossam A. Nabwey |
| author_sort | G. S. Saluja |
| collection | DOAJ |
| description | It has been shown that the findings of d-metric spaces may be deduced from S-metric spaces by considering dϖ,ϰ=Λϖ,ϖ,ϰ. In this study, no such concepts that translate to the outcomes of metric spaces are considered. We establish standard fixed point theorems for integral type contractions involving rational terms in the context of complete S-metric spaces and discuss their implications. We also provide examples to illustrate the work. This paper’s findings generalize and expand a number of previously published conclusions. In addition, the abstract conclusions are supported by an application of the Riemann-Liouville calculus to a fractional integral problem and a supportive numerical example. |
| format | Article |
| id | doaj-art-dcc7bbd024214a14940425cbad9f71a6 |
| institution | Kabale University |
| issn | 2314-8888 |
| language | English |
| publishDate | 2024-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Function Spaces |
| spelling | doaj-art-dcc7bbd024214a14940425cbad9f71a62025-02-03T05:54:35ZengWileyJournal of Function Spaces2314-88882024-01-01202410.1155/2024/5108481Common Fixed Point Theorems on S-Metric Spaces for Integral Type Contractions Involving Rational Terms and Application to Fractional Integral EquationG. S. Saluja0Hemant Kumar Nashine1Reena Jain2Rabha W. Ibrahim3Hossam A. Nabwey4Govt. Nagarjuna Post Graduate College of ScienceMathematics DivisionMathematics DivisionDepartment of Computer Science and MathematicsDepartment of MathematicsIt has been shown that the findings of d-metric spaces may be deduced from S-metric spaces by considering dϖ,ϰ=Λϖ,ϖ,ϰ. In this study, no such concepts that translate to the outcomes of metric spaces are considered. We establish standard fixed point theorems for integral type contractions involving rational terms in the context of complete S-metric spaces and discuss their implications. We also provide examples to illustrate the work. This paper’s findings generalize and expand a number of previously published conclusions. In addition, the abstract conclusions are supported by an application of the Riemann-Liouville calculus to a fractional integral problem and a supportive numerical example.http://dx.doi.org/10.1155/2024/5108481 |
| spellingShingle | G. S. Saluja Hemant Kumar Nashine Reena Jain Rabha W. Ibrahim Hossam A. Nabwey Common Fixed Point Theorems on S-Metric Spaces for Integral Type Contractions Involving Rational Terms and Application to Fractional Integral Equation Journal of Function Spaces |
| title | Common Fixed Point Theorems on S-Metric Spaces for Integral Type Contractions Involving Rational Terms and Application to Fractional Integral Equation |
| title_full | Common Fixed Point Theorems on S-Metric Spaces for Integral Type Contractions Involving Rational Terms and Application to Fractional Integral Equation |
| title_fullStr | Common Fixed Point Theorems on S-Metric Spaces for Integral Type Contractions Involving Rational Terms and Application to Fractional Integral Equation |
| title_full_unstemmed | Common Fixed Point Theorems on S-Metric Spaces for Integral Type Contractions Involving Rational Terms and Application to Fractional Integral Equation |
| title_short | Common Fixed Point Theorems on S-Metric Spaces for Integral Type Contractions Involving Rational Terms and Application to Fractional Integral Equation |
| title_sort | common fixed point theorems on s metric spaces for integral type contractions involving rational terms and application to fractional integral equation |
| url | http://dx.doi.org/10.1155/2024/5108481 |
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