Common Fixed-Point Theorems in the Partial b-Metric Spaces and an Application to the System of Boundary Value Problems
In this paper, we investigate the conditions for the existence of the common fixed points of generalized contractions in the partial b-metric spaces endowed with an arbitrary binary relation. We establish some unique common fixed-point theorems. The obtained results may generalize and improve earlie...
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| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
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Wiley
2021-01-01
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| Series: | Journal of Function Spaces |
| Online Access: | http://dx.doi.org/10.1155/2021/7777754 |
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| _version_ | 1832561377652244480 |
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| author | Muhammad Nazam Zahida Hamid Hamed Al Sulami Aftab Hussain |
| author_facet | Muhammad Nazam Zahida Hamid Hamed Al Sulami Aftab Hussain |
| author_sort | Muhammad Nazam |
| collection | DOAJ |
| description | In this paper, we investigate the conditions for the existence of the common fixed points of generalized contractions in the partial b-metric spaces endowed with an arbitrary binary relation. We establish some unique common fixed-point theorems. The obtained results may generalize and improve earlier fixed-point results. We provide examples to illustrate our findings. As an application, we discuss the common solution to the system of boundary value problems. |
| format | Article |
| id | doaj-art-a5c026bddbac472cbe77def8778c10b3 |
| institution | Kabale University |
| issn | 2314-8896 2314-8888 |
| language | English |
| publishDate | 2021-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Function Spaces |
| spelling | doaj-art-a5c026bddbac472cbe77def8778c10b32025-02-03T01:25:08ZengWileyJournal of Function Spaces2314-88962314-88882021-01-01202110.1155/2021/77777547777754Common Fixed-Point Theorems in the Partial b-Metric Spaces and an Application to the System of Boundary Value ProblemsMuhammad Nazam0Zahida Hamid1Hamed Al Sulami2Aftab Hussain3Department of Mathematics, Allama Iqbal Open University, H-8 Islamabad, PakistanDepartment of Mathematics, Allama Iqbal Open University, H-8 Islamabad, PakistanDepartment of Mathematics, King Abdulaziz University, P.O. Box 80203, Jeddah 21589, Saudi ArabiaDepartment of Mathematics, King Abdulaziz University, P.O. Box 80203, Jeddah 21589, Saudi ArabiaIn this paper, we investigate the conditions for the existence of the common fixed points of generalized contractions in the partial b-metric spaces endowed with an arbitrary binary relation. We establish some unique common fixed-point theorems. The obtained results may generalize and improve earlier fixed-point results. We provide examples to illustrate our findings. As an application, we discuss the common solution to the system of boundary value problems.http://dx.doi.org/10.1155/2021/7777754 |
| spellingShingle | Muhammad Nazam Zahida Hamid Hamed Al Sulami Aftab Hussain Common Fixed-Point Theorems in the Partial b-Metric Spaces and an Application to the System of Boundary Value Problems Journal of Function Spaces |
| title | Common Fixed-Point Theorems in the Partial b-Metric Spaces and an Application to the System of Boundary Value Problems |
| title_full | Common Fixed-Point Theorems in the Partial b-Metric Spaces and an Application to the System of Boundary Value Problems |
| title_fullStr | Common Fixed-Point Theorems in the Partial b-Metric Spaces and an Application to the System of Boundary Value Problems |
| title_full_unstemmed | Common Fixed-Point Theorems in the Partial b-Metric Spaces and an Application to the System of Boundary Value Problems |
| title_short | Common Fixed-Point Theorems in the Partial b-Metric Spaces and an Application to the System of Boundary Value Problems |
| title_sort | common fixed point theorems in the partial b metric spaces and an application to the system of boundary value problems |
| url | http://dx.doi.org/10.1155/2021/7777754 |
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