Integral Equations Approach in Complex-Valued Generalized b-Metric Spaces
In this paper, we study a rational type common fixed-point theorem (CFP theorem) in complex-valued generalized b-metric spaces (Gb-metric spaces) by using three self-mappings under the generalized contraction conditions. We find CFP and prove its uniqueness. To justify our result, we provide an illu...
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| Main Authors: | , , , , |
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| Format: | Article |
| Language: | English |
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Wiley
2022-01-01
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| Series: | Journal of Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2022/7454498 |
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| author | Shahid Mehmood Saif Ur Rehman Ihsan Ullah Rashad A. R. Bantan Mohammed Elgarhy |
| author_facet | Shahid Mehmood Saif Ur Rehman Ihsan Ullah Rashad A. R. Bantan Mohammed Elgarhy |
| author_sort | Shahid Mehmood |
| collection | DOAJ |
| description | In this paper, we study a rational type common fixed-point theorem (CFP theorem) in complex-valued generalized b-metric spaces (Gb-metric spaces) by using three self-mappings under the generalized contraction conditions. We find CFP and prove its uniqueness. To justify our result, we provide an illustrative example. Furthermore, we present a supportive application of the three Urysohn type integral equations (UTIEs) for the validity of our result. The UTIEs are |
| format | Article |
| id | doaj-art-f4023ffcded540ed91583daf3f4bcc88 |
| institution | Kabale University |
| issn | 2314-4785 |
| language | English |
| publishDate | 2022-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Mathematics |
| spelling | doaj-art-f4023ffcded540ed91583daf3f4bcc882025-02-03T00:59:11ZengWileyJournal of Mathematics2314-47852022-01-01202210.1155/2022/7454498Integral Equations Approach in Complex-Valued Generalized b-Metric SpacesShahid Mehmood0Saif Ur Rehman1Ihsan Ullah2Rashad A. R. Bantan3Mohammed Elgarhy4Institute of Numerical SciencesInstitute of Numerical SciencesSchool of International StudiesDepartment of Marine GeologyInstitute of Numerical SciencesIn this paper, we study a rational type common fixed-point theorem (CFP theorem) in complex-valued generalized b-metric spaces (Gb-metric spaces) by using three self-mappings under the generalized contraction conditions. We find CFP and prove its uniqueness. To justify our result, we provide an illustrative example. Furthermore, we present a supportive application of the three Urysohn type integral equations (UTIEs) for the validity of our result. The UTIEs arehttp://dx.doi.org/10.1155/2022/7454498 |
| spellingShingle | Shahid Mehmood Saif Ur Rehman Ihsan Ullah Rashad A. R. Bantan Mohammed Elgarhy Integral Equations Approach in Complex-Valued Generalized b-Metric Spaces Journal of Mathematics |
| title | Integral Equations Approach in Complex-Valued Generalized b-Metric Spaces |
| title_full | Integral Equations Approach in Complex-Valued Generalized b-Metric Spaces |
| title_fullStr | Integral Equations Approach in Complex-Valued Generalized b-Metric Spaces |
| title_full_unstemmed | Integral Equations Approach in Complex-Valued Generalized b-Metric Spaces |
| title_short | Integral Equations Approach in Complex-Valued Generalized b-Metric Spaces |
| title_sort | integral equations approach in complex valued generalized b metric spaces |
| url | http://dx.doi.org/10.1155/2022/7454498 |
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