An Approach of Integral Equations in Complex-Valued b-Metric Space Using Commuting Self-Maps
This paper is aimed at establishing some unique common fixed point theorems in complex-valued b-metric space under the rational type contraction conditions for three self-mappings in which the one self-map is continuous. A continuous self-map is commutable with the other two self-mappings. Our resul...
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| Main Authors: | , , , , , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2022-01-01
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| Series: | Journal of Function Spaces |
| Online Access: | http://dx.doi.org/10.1155/2022/5862251 |
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| author | Rashad A. R. Bantan Saif Ur Rehman Shahid Mehmood Waleed Almutiry Amani Abdullah Alahmadi Mohammed Elgarhy |
| author_facet | Rashad A. R. Bantan Saif Ur Rehman Shahid Mehmood Waleed Almutiry Amani Abdullah Alahmadi Mohammed Elgarhy |
| author_sort | Rashad A. R. Bantan |
| collection | DOAJ |
| description | This paper is aimed at establishing some unique common fixed point theorems in complex-valued b-metric space under the rational type contraction conditions for three self-mappings in which the one self-map is continuous. A continuous self-map is commutable with the other two self-mappings. Our results are verified by some suitable examples. Ultimately, our results have been utilized to prove the existing solution to the two Urysohn integral type equations. This application illustrates how complex-valued b-metric space can be used in other types of integral operators. |
| format | Article |
| id | doaj-art-57f1354cd9844a22a261752dbe46fb49 |
| institution | Kabale University |
| issn | 2314-8888 |
| language | English |
| publishDate | 2022-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Function Spaces |
| spelling | doaj-art-57f1354cd9844a22a261752dbe46fb492025-02-03T01:25:20ZengWileyJournal of Function Spaces2314-88882022-01-01202210.1155/2022/5862251An Approach of Integral Equations in Complex-Valued b-Metric Space Using Commuting Self-MapsRashad A. R. Bantan0Saif Ur Rehman1Shahid Mehmood2Waleed Almutiry3Amani Abdullah Alahmadi4Mohammed Elgarhy5Department of Marine GeologyInstitute of Numerical SciencesInstitute of Numerical SciencesDepartment of MathematicsCollege of Science and HumanitiesThe Higher Institute of Commercial SciencesThis paper is aimed at establishing some unique common fixed point theorems in complex-valued b-metric space under the rational type contraction conditions for three self-mappings in which the one self-map is continuous. A continuous self-map is commutable with the other two self-mappings. Our results are verified by some suitable examples. Ultimately, our results have been utilized to prove the existing solution to the two Urysohn integral type equations. This application illustrates how complex-valued b-metric space can be used in other types of integral operators.http://dx.doi.org/10.1155/2022/5862251 |
| spellingShingle | Rashad A. R. Bantan Saif Ur Rehman Shahid Mehmood Waleed Almutiry Amani Abdullah Alahmadi Mohammed Elgarhy An Approach of Integral Equations in Complex-Valued b-Metric Space Using Commuting Self-Maps Journal of Function Spaces |
| title | An Approach of Integral Equations in Complex-Valued b-Metric Space Using Commuting Self-Maps |
| title_full | An Approach of Integral Equations in Complex-Valued b-Metric Space Using Commuting Self-Maps |
| title_fullStr | An Approach of Integral Equations in Complex-Valued b-Metric Space Using Commuting Self-Maps |
| title_full_unstemmed | An Approach of Integral Equations in Complex-Valued b-Metric Space Using Commuting Self-Maps |
| title_short | An Approach of Integral Equations in Complex-Valued b-Metric Space Using Commuting Self-Maps |
| title_sort | approach of integral equations in complex valued b metric space using commuting self maps |
| url | http://dx.doi.org/10.1155/2022/5862251 |
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