Some Fixed Point Theorems for Boyd and Wong Type Contraction Mapping in Ordered Partial Metric Spaces with an Application
This paper establishes and proves a fixed point theorem for Boyd and Wong type contraction in ordered partial metric spaces. In doing so, we have extended several existing results into ordered complete partial metric spaces. An illustrative example is given to demonstrate the validity of our results...
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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/10.1155/2022/7591420 |
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| _version_ | 1832564630098018304 |
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| author | Santosh Kumar Faustine Nziku |
| author_facet | Santosh Kumar Faustine Nziku |
| author_sort | Santosh Kumar |
| collection | DOAJ |
| description | This paper establishes and proves a fixed point theorem for Boyd and Wong type contraction in ordered partial metric spaces. In doing so, we have extended several existing results into ordered complete partial metric spaces. An illustrative example is given to demonstrate the validity of our results. Finally, the existence of the solution of nonlinear integral equation is discussed as an application of the main result. |
| format | Article |
| id | doaj-art-b9b52f42134e4941860b7e871af806c7 |
| 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-b9b52f42134e4941860b7e871af806c72025-02-03T01:10:36ZengWileyJournal of Function Spaces2314-88882022-01-01202210.1155/2022/7591420Some Fixed Point Theorems for Boyd and Wong Type Contraction Mapping in Ordered Partial Metric Spaces with an ApplicationSantosh Kumar0Faustine Nziku1Department of MathematicsDepartment of MathematicsThis paper establishes and proves a fixed point theorem for Boyd and Wong type contraction in ordered partial metric spaces. In doing so, we have extended several existing results into ordered complete partial metric spaces. An illustrative example is given to demonstrate the validity of our results. Finally, the existence of the solution of nonlinear integral equation is discussed as an application of the main result.http://dx.doi.org/10.1155/2022/7591420 |
| spellingShingle | Santosh Kumar Faustine Nziku Some Fixed Point Theorems for Boyd and Wong Type Contraction Mapping in Ordered Partial Metric Spaces with an Application Journal of Function Spaces |
| title | Some Fixed Point Theorems for Boyd and Wong Type Contraction Mapping in Ordered Partial Metric Spaces with an Application |
| title_full | Some Fixed Point Theorems for Boyd and Wong Type Contraction Mapping in Ordered Partial Metric Spaces with an Application |
| title_fullStr | Some Fixed Point Theorems for Boyd and Wong Type Contraction Mapping in Ordered Partial Metric Spaces with an Application |
| title_full_unstemmed | Some Fixed Point Theorems for Boyd and Wong Type Contraction Mapping in Ordered Partial Metric Spaces with an Application |
| title_short | Some Fixed Point Theorems for Boyd and Wong Type Contraction Mapping in Ordered Partial Metric Spaces with an Application |
| title_sort | some fixed point theorems for boyd and wong type contraction mapping in ordered partial metric spaces with an application |
| url | http://dx.doi.org/10.1155/2022/7591420 |
| work_keys_str_mv | AT santoshkumar somefixedpointtheoremsforboydandwongtypecontractionmappinginorderedpartialmetricspaceswithanapplication AT faustinenziku somefixedpointtheoremsforboydandwongtypecontractionmappinginorderedpartialmetricspaceswithanapplication |