On Fixed Point of Quasi Contraction with Application to Integral Equation
It is observed from the surveyed literature that there is no sufficient study of quasi-weakly contractive operators in the context of $b$-metric-like spaces. From this background information, this paper introduces a new unified notion of the quasi-weakly contractive operator in $b$-metric-like space...
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| Format: | Article |
| Language: | English |
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University of Maragheh
2024-07-01
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| Series: | Sahand Communications in Mathematical Analysis |
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| Online Access: | https://scma.maragheh.ac.ir/article_712734_10ba19c083d44c9de9ba8d5a28b98e0d.pdf |
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| _version_ | 1823859386043334656 |
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| author | Rhoda Chiroma Shehu Shagari Mohammed Jamilu Jiddah |
| author_facet | Rhoda Chiroma Shehu Shagari Mohammed Jamilu Jiddah |
| author_sort | Rhoda Chiroma |
| collection | DOAJ |
| description | It is observed from the surveyed literature that there is no sufficient study of quasi-weakly contractive operators in the context of $b$-metric-like spaces. From this background information, this paper introduces a new unified notion of the quasi-weakly contractive operator in $b$-metric-like space. It examines the existence and uniqueness of invariant points of such operators. The idea put forward herewith subsumes a few known results in the literature. Non-trivial illustrations are constructed to verify our proposed concepts and to compare them with other corresponding ones. Corollaries which reduce our findings to other famous ideas are presented and discussed. As an application, one of our obtained corollaries is utilised to investigate new existence criteria for solving a class of boundary value problem. |
| format | Article |
| id | doaj-art-348091172e364e73acea2de5c8ebb7a1 |
| institution | Kabale University |
| issn | 2322-5807 2423-3900 |
| language | English |
| publishDate | 2024-07-01 |
| publisher | University of Maragheh |
| record_format | Article |
| series | Sahand Communications in Mathematical Analysis |
| spelling | doaj-art-348091172e364e73acea2de5c8ebb7a12025-02-11T05:27:31ZengUniversity of MaraghehSahand Communications in Mathematical Analysis2322-58072423-39002024-07-0121346149110.22130/scma.2023.2006954.1389712734On Fixed Point of Quasi Contraction with Application to Integral EquationRhoda Chiroma0Shehu Shagari Mohammed1Jamilu Jiddah2Department of Mathematics, Faculty of Physical Sciences, Ahmadu Bello University, Zaria, Nigeria.Department of Mathematics, Faculty of Physical Sciences, Ahmadu Bello University, Zaria, Nigeria.Department of Mathematics, School of Physical Sciences, Federal University of Technology, Minna, Nigeria.It is observed from the surveyed literature that there is no sufficient study of quasi-weakly contractive operators in the context of $b$-metric-like spaces. From this background information, this paper introduces a new unified notion of the quasi-weakly contractive operator in $b$-metric-like space. It examines the existence and uniqueness of invariant points of such operators. The idea put forward herewith subsumes a few known results in the literature. Non-trivial illustrations are constructed to verify our proposed concepts and to compare them with other corresponding ones. Corollaries which reduce our findings to other famous ideas are presented and discussed. As an application, one of our obtained corollaries is utilised to investigate new existence criteria for solving a class of boundary value problem.https://scma.maragheh.ac.ir/article_712734_10ba19c083d44c9de9ba8d5a28b98e0d.pdffixed point$b$-metric-likeintegral equation |
| spellingShingle | Rhoda Chiroma Shehu Shagari Mohammed Jamilu Jiddah On Fixed Point of Quasi Contraction with Application to Integral Equation Sahand Communications in Mathematical Analysis fixed point $b$-metric-like integral equation |
| title | On Fixed Point of Quasi Contraction with Application to Integral Equation |
| title_full | On Fixed Point of Quasi Contraction with Application to Integral Equation |
| title_fullStr | On Fixed Point of Quasi Contraction with Application to Integral Equation |
| title_full_unstemmed | On Fixed Point of Quasi Contraction with Application to Integral Equation |
| title_short | On Fixed Point of Quasi Contraction with Application to Integral Equation |
| title_sort | on fixed point of quasi contraction with application to integral equation |
| topic | fixed point $b$-metric-like integral equation |
| url | https://scma.maragheh.ac.ir/article_712734_10ba19c083d44c9de9ba8d5a28b98e0d.pdf |
| work_keys_str_mv | AT rhodachiroma onfixedpointofquasicontractionwithapplicationtointegralequation AT shehushagarimohammed onfixedpointofquasicontractionwithapplicationtointegralequation AT jamilujiddah onfixedpointofquasicontractionwithapplicationtointegralequation |