Relational Quasicontractions and Related Fixed Point Theorems
In this article, some results on fixed points under quasicontractions in the framework of metric space endowed with binary relation are proved. Our newly proved results improve and extend several noted fixed point theorems of the existing literature besides their relation-theoretic analogues. We con...
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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 Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2022/4477660 |
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| _version_ | 1832559448667717632 |
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| author | Nidal H. E. Eljaneid Faizan A. Khan Hamid I. A. Mohammed Aftab Alam |
| author_facet | Nidal H. E. Eljaneid Faizan A. Khan Hamid I. A. Mohammed Aftab Alam |
| author_sort | Nidal H. E. Eljaneid |
| collection | DOAJ |
| description | In this article, some results on fixed points under quasicontractions in the framework of metric space endowed with binary relation are proved. Our newly proved results improve and extend several noted fixed point theorems of the existing literature besides their relation-theoretic analogues. We conclude this article by constructing an example to affirm the efficacy of our results. |
| format | Article |
| id | doaj-art-cfa5d1d9cfa445519cf87303f30f3cb1 |
| institution | Kabale University |
| issn | 2314-4785 |
| language | English |
| publishDate | 2022-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Mathematics |
| spelling | doaj-art-cfa5d1d9cfa445519cf87303f30f3cb12025-02-03T01:30:04ZengWileyJournal of Mathematics2314-47852022-01-01202210.1155/2022/4477660Relational Quasicontractions and Related Fixed Point TheoremsNidal H. E. Eljaneid0Faizan A. Khan1Hamid I. A. Mohammed2Aftab Alam3Department of MathematicsDepartment of MathematicsDepartment of MathematicsDepartment of MathematicsIn this article, some results on fixed points under quasicontractions in the framework of metric space endowed with binary relation are proved. Our newly proved results improve and extend several noted fixed point theorems of the existing literature besides their relation-theoretic analogues. We conclude this article by constructing an example to affirm the efficacy of our results.http://dx.doi.org/10.1155/2022/4477660 |
| spellingShingle | Nidal H. E. Eljaneid Faizan A. Khan Hamid I. A. Mohammed Aftab Alam Relational Quasicontractions and Related Fixed Point Theorems Journal of Mathematics |
| title | Relational Quasicontractions and Related Fixed Point Theorems |
| title_full | Relational Quasicontractions and Related Fixed Point Theorems |
| title_fullStr | Relational Quasicontractions and Related Fixed Point Theorems |
| title_full_unstemmed | Relational Quasicontractions and Related Fixed Point Theorems |
| title_short | Relational Quasicontractions and Related Fixed Point Theorems |
| title_sort | relational quasicontractions and related fixed point theorems |
| url | http://dx.doi.org/10.1155/2022/4477660 |
| work_keys_str_mv | AT nidalheeljaneid relationalquasicontractionsandrelatedfixedpointtheorems AT faizanakhan relationalquasicontractionsandrelatedfixedpointtheorems AT hamidiamohammed relationalquasicontractionsandrelatedfixedpointtheorems AT aftabalam relationalquasicontractionsandrelatedfixedpointtheorems |