Fixed Point Results via Real-Valued Function Satisfying Integral Type Rational Contraction
In this article, we mainly discuss the existence and uniqueness of fixed point satisfying integral type contractions in complete metric spaces via rational expression using real-valued functions. We improve and unify many widely known results from the literature. Among these, the work of Rakotch (19...
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| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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Wiley
2023-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2023/2592507 |
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| _version_ | 1832552965110497280 |
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| author | Naveen Mani Amit Sharma Rahul Shukla |
| author_facet | Naveen Mani Amit Sharma Rahul Shukla |
| author_sort | Naveen Mani |
| collection | DOAJ |
| description | In this article, we mainly discuss the existence and uniqueness of fixed point satisfying integral type contractions in complete metric spaces via rational expression using real-valued functions. We improve and unify many widely known results from the literature. Among these, the work of Rakotch (1962), Branciari (2002), and Liu et al. (2013) is extended. Finally, we conclude with an example presented graphically in favour of our work. |
| format | Article |
| id | doaj-art-12c23f87e45c48c2987e698178663352 |
| institution | Kabale University |
| issn | 1687-0409 |
| language | English |
| publishDate | 2023-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-12c23f87e45c48c2987e6981786633522025-02-03T05:57:24ZengWileyAbstract and Applied Analysis1687-04092023-01-01202310.1155/2023/2592507Fixed Point Results via Real-Valued Function Satisfying Integral Type Rational ContractionNaveen Mani0Amit Sharma1Rahul Shukla2Department of MathematicsDepartment of MathematicsDepartment of Mathematical Sciences and ComputingIn this article, we mainly discuss the existence and uniqueness of fixed point satisfying integral type contractions in complete metric spaces via rational expression using real-valued functions. We improve and unify many widely known results from the literature. Among these, the work of Rakotch (1962), Branciari (2002), and Liu et al. (2013) is extended. Finally, we conclude with an example presented graphically in favour of our work.http://dx.doi.org/10.1155/2023/2592507 |
| spellingShingle | Naveen Mani Amit Sharma Rahul Shukla Fixed Point Results via Real-Valued Function Satisfying Integral Type Rational Contraction Abstract and Applied Analysis |
| title | Fixed Point Results via Real-Valued Function Satisfying Integral Type Rational Contraction |
| title_full | Fixed Point Results via Real-Valued Function Satisfying Integral Type Rational Contraction |
| title_fullStr | Fixed Point Results via Real-Valued Function Satisfying Integral Type Rational Contraction |
| title_full_unstemmed | Fixed Point Results via Real-Valued Function Satisfying Integral Type Rational Contraction |
| title_short | Fixed Point Results via Real-Valued Function Satisfying Integral Type Rational Contraction |
| title_sort | fixed point results via real valued function satisfying integral type rational contraction |
| url | http://dx.doi.org/10.1155/2023/2592507 |
| work_keys_str_mv | AT naveenmani fixedpointresultsviarealvaluedfunctionsatisfyingintegraltyperationalcontraction AT amitsharma fixedpointresultsviarealvaluedfunctionsatisfyingintegraltyperationalcontraction AT rahulshukla fixedpointresultsviarealvaluedfunctionsatisfyingintegraltyperationalcontraction |