Fixed Point Results for Generalized α,ψ-Contraction Mapping in Rectangular b-Metric Spaces
In this paper, we introduce generalized α,ψ-contraction mappings in the setting of rectangular b-metric spaces and established existence and uniqueness of fixed points for the mappings introduced. Our results extend and generalize related fixed point results in the existing literature. We derive som...
Saved in:
| Main Authors: | , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Wiley
2022-01-01
|
| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2022/9370083 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1832565853109878784 |
|---|---|
| author | Mustefa Abduletif Mamud Kidane Koyas Tola |
| author_facet | Mustefa Abduletif Mamud Kidane Koyas Tola |
| author_sort | Mustefa Abduletif Mamud |
| collection | DOAJ |
| description | In this paper, we introduce generalized α,ψ-contraction mappings in the setting of rectangular b-metric spaces and established existence and uniqueness of fixed points for the mappings introduced. Our results extend and generalize related fixed point results in the existing literature. We derive some consequences and corollaries from our obtained results. Also, we provide examples in support of our main findings. Furthermore, we determined a solution to an integral equation by applying our obtained results. |
| format | Article |
| id | doaj-art-4e6f3e071c5647218f0b7c738b9bfa97 |
| institution | Kabale University |
| issn | 1687-0409 |
| language | English |
| publishDate | 2022-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-4e6f3e071c5647218f0b7c738b9bfa972025-02-03T01:06:34ZengWileyAbstract and Applied Analysis1687-04092022-01-01202210.1155/2022/9370083Fixed Point Results for Generalized α,ψ-Contraction Mapping in Rectangular b-Metric SpacesMustefa Abduletif Mamud0Kidane Koyas Tola1Department of MathematicsDepartment of MathematicsIn this paper, we introduce generalized α,ψ-contraction mappings in the setting of rectangular b-metric spaces and established existence and uniqueness of fixed points for the mappings introduced. Our results extend and generalize related fixed point results in the existing literature. We derive some consequences and corollaries from our obtained results. Also, we provide examples in support of our main findings. Furthermore, we determined a solution to an integral equation by applying our obtained results.http://dx.doi.org/10.1155/2022/9370083 |
| spellingShingle | Mustefa Abduletif Mamud Kidane Koyas Tola Fixed Point Results for Generalized α,ψ-Contraction Mapping in Rectangular b-Metric Spaces Abstract and Applied Analysis |
| title | Fixed Point Results for Generalized α,ψ-Contraction Mapping in Rectangular b-Metric Spaces |
| title_full | Fixed Point Results for Generalized α,ψ-Contraction Mapping in Rectangular b-Metric Spaces |
| title_fullStr | Fixed Point Results for Generalized α,ψ-Contraction Mapping in Rectangular b-Metric Spaces |
| title_full_unstemmed | Fixed Point Results for Generalized α,ψ-Contraction Mapping in Rectangular b-Metric Spaces |
| title_short | Fixed Point Results for Generalized α,ψ-Contraction Mapping in Rectangular b-Metric Spaces |
| title_sort | fixed point results for generalized α ψ contraction mapping in rectangular b metric spaces |
| url | http://dx.doi.org/10.1155/2022/9370083 |
| work_keys_str_mv | AT mustefaabduletifmamud fixedpointresultsforgeneralizedapscontractionmappinginrectangularbmetricspaces AT kidanekoyastola fixedpointresultsforgeneralizedapscontractionmappinginrectangularbmetricspaces |