Some New Aspects of Metric Fixed Point Theory
In this manuscript, we prove fixed point results in Rm-metric spaces endowed with an amorphous binary relation. Moreover, we give an example to highlight the utility of our main results. Finally, we apply our result to examine the existence and uniqueness of the solution for a Fredholm integral equa...
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| Main Authors: | , , , , , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2021-01-01
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| Series: | Advances in Mathematical Physics |
| Online Access: | http://dx.doi.org/10.1155/2021/9839311 |
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| _version_ | 1841524687592488960 |
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| author | Khalil Javed Fahim Uddin Hüseyin Işık Tareq M. Al-shami Faizan Adeel Muhammad Arshad |
| author_facet | Khalil Javed Fahim Uddin Hüseyin Işık Tareq M. Al-shami Faizan Adeel Muhammad Arshad |
| author_sort | Khalil Javed |
| collection | DOAJ |
| description | In this manuscript, we prove fixed point results in Rm-metric spaces endowed with an amorphous binary relation. Moreover, we give an example to highlight the utility of our main results. Finally, we apply our result to examine the existence and uniqueness of the solution for a Fredholm integral equation. |
| format | Article |
| id | doaj-art-7a1382ce42e041409c0f070a71aee703 |
| institution | Kabale University |
| issn | 1687-9120 1687-9139 |
| language | English |
| publishDate | 2021-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Advances in Mathematical Physics |
| spelling | doaj-art-7a1382ce42e041409c0f070a71aee7032025-02-03T05:47:37ZengWileyAdvances in Mathematical Physics1687-91201687-91392021-01-01202110.1155/2021/98393119839311Some New Aspects of Metric Fixed Point TheoryKhalil Javed0Fahim Uddin1Hüseyin Işık2Tareq M. Al-shami3Faizan Adeel4Muhammad Arshad5Department of Mathematics and Statistic, International Islamic University, Islamabad, PakistanDepartment of Mathematics and Statistic, International Islamic University, Islamabad, PakistanDepartment of Engineering Science, Bandırma Onyedi Eylül University, 10200 Bandırma, Balıkesir, TurkeyDepartment of Mathematics, Sana’a University, Sana’a, YemenDepartment of Mathematics and Statistic, International Islamic University, Islamabad, PakistanDepartment of Mathematics and Statistic, International Islamic University, Islamabad, PakistanIn this manuscript, we prove fixed point results in Rm-metric spaces endowed with an amorphous binary relation. Moreover, we give an example to highlight the utility of our main results. Finally, we apply our result to examine the existence and uniqueness of the solution for a Fredholm integral equation.http://dx.doi.org/10.1155/2021/9839311 |
| spellingShingle | Khalil Javed Fahim Uddin Hüseyin Işık Tareq M. Al-shami Faizan Adeel Muhammad Arshad Some New Aspects of Metric Fixed Point Theory Advances in Mathematical Physics |
| title | Some New Aspects of Metric Fixed Point Theory |
| title_full | Some New Aspects of Metric Fixed Point Theory |
| title_fullStr | Some New Aspects of Metric Fixed Point Theory |
| title_full_unstemmed | Some New Aspects of Metric Fixed Point Theory |
| title_short | Some New Aspects of Metric Fixed Point Theory |
| title_sort | some new aspects of metric fixed point theory |
| url | http://dx.doi.org/10.1155/2021/9839311 |
| work_keys_str_mv | AT khaliljaved somenewaspectsofmetricfixedpointtheory AT fahimuddin somenewaspectsofmetricfixedpointtheory AT huseyinisık somenewaspectsofmetricfixedpointtheory AT tareqmalshami somenewaspectsofmetricfixedpointtheory AT faizanadeel somenewaspectsofmetricfixedpointtheory AT muhammadarshad somenewaspectsofmetricfixedpointtheory |