Fixed Point Results for an Almost Generalized α-Admissible Z-Contraction in the Setting of Partially Ordered b-Metric Spaces
In this paper, we introduce an almost generalized α-admissible Z-contraction with the help of a simulation function and study fixed point results in the setting of partially ordered b-metric spaces. The presented results generalize and unify several related fixed point results in the existing litera...
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| Format: | Article |
| Language: | English |
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Wiley
2021-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2021/5988007 |
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| _version_ | 1832566378080501760 |
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| author | Solomon Gebregiorgis Teweldemedhin Kidane Koyas Tola |
| author_facet | Solomon Gebregiorgis Teweldemedhin Kidane Koyas Tola |
| author_sort | Solomon Gebregiorgis Teweldemedhin |
| collection | DOAJ |
| description | In this paper, we introduce an almost generalized α-admissible Z-contraction with the help of a simulation function and study fixed point results in the setting of partially ordered b-metric spaces. The presented results generalize and unify several related fixed point results in the existing literature. Finally, we verify our results by using two examples. Moreover, one of our fixed point results is applied to guarantee the existence of a solution of an integral equation. |
| format | Article |
| id | doaj-art-f1f135c2bfab4d048696fbe1c0a8740c |
| institution | Kabale University |
| issn | 1687-0409 |
| language | English |
| publishDate | 2021-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-f1f135c2bfab4d048696fbe1c0a8740c2025-02-03T01:04:21ZengWileyAbstract and Applied Analysis1687-04092021-01-01202110.1155/2021/5988007Fixed Point Results for an Almost Generalized α-Admissible Z-Contraction in the Setting of Partially Ordered b-Metric SpacesSolomon Gebregiorgis Teweldemedhin0Kidane Koyas Tola1Department of MathematicsDepartment of MathematicsIn this paper, we introduce an almost generalized α-admissible Z-contraction with the help of a simulation function and study fixed point results in the setting of partially ordered b-metric spaces. The presented results generalize and unify several related fixed point results in the existing literature. Finally, we verify our results by using two examples. Moreover, one of our fixed point results is applied to guarantee the existence of a solution of an integral equation.http://dx.doi.org/10.1155/2021/5988007 |
| spellingShingle | Solomon Gebregiorgis Teweldemedhin Kidane Koyas Tola Fixed Point Results for an Almost Generalized α-Admissible Z-Contraction in the Setting of Partially Ordered b-Metric Spaces Abstract and Applied Analysis |
| title | Fixed Point Results for an Almost Generalized α-Admissible Z-Contraction in the Setting of Partially Ordered b-Metric Spaces |
| title_full | Fixed Point Results for an Almost Generalized α-Admissible Z-Contraction in the Setting of Partially Ordered b-Metric Spaces |
| title_fullStr | Fixed Point Results for an Almost Generalized α-Admissible Z-Contraction in the Setting of Partially Ordered b-Metric Spaces |
| title_full_unstemmed | Fixed Point Results for an Almost Generalized α-Admissible Z-Contraction in the Setting of Partially Ordered b-Metric Spaces |
| title_short | Fixed Point Results for an Almost Generalized α-Admissible Z-Contraction in the Setting of Partially Ordered b-Metric Spaces |
| title_sort | fixed point results for an almost generalized α admissible z contraction in the setting of partially ordered b metric spaces |
| url | http://dx.doi.org/10.1155/2021/5988007 |
| work_keys_str_mv | AT solomongebregiorgisteweldemedhin fixedpointresultsforanalmostgeneralizedaadmissiblezcontractioninthesettingofpartiallyorderedbmetricspaces AT kidanekoyastola fixedpointresultsforanalmostgeneralizedaadmissiblezcontractioninthesettingofpartiallyorderedbmetricspaces |