Fixed point theorems for generalized ( α , ψ ) $(\alpha ,\psi )$ -contraction mappings in rectangular quasi b-metric spaces
Abstract In this paper, we introduce the class of rectangular quasi b-metric spaces as a generalization of rectangular metric spaces, rectangular quasi-metric spaces, rectangular b-metric spaces, define generalized ( α , ψ ) $(\alpha ,\psi ) $ -contraction mappings and study fixed point results for...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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SpringerOpen
2022-05-01
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| Series: | Fixed Point Theory and Algorithms for Sciences and Engineering |
| Subjects: | |
| Online Access: | https://doi.org/10.1186/s13663-022-00723-w |
| _version_ | 1817985395676151808 |
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| author | Bontu Nasir Abagaro Kidane Koyas Tola Mustefa Abduletif Mamud |
| author_facet | Bontu Nasir Abagaro Kidane Koyas Tola Mustefa Abduletif Mamud |
| author_sort | Bontu Nasir Abagaro |
| collection | DOAJ |
| description | Abstract In this paper, we introduce the class of rectangular quasi b-metric spaces as a generalization of rectangular metric spaces, rectangular quasi-metric spaces, rectangular b-metric spaces, define generalized ( α , ψ ) $(\alpha ,\psi ) $ -contraction mappings and study fixed point results for the maps introduced in the setting of rectangular quasi b-metric spaces. Our results extend and generalize related fixed point results in the literature, in particular, the works of Karapinar and Lakzian (J. Funct. Spaces 2014:914398, 2014), Alharbi et al. (J. Math. Anal. 9(3):47–60, 2018), and Khuangsatung et al. (Thai J. Math. 2020:89–101, 2020) from rectangular quasi metric space and rectangular b-metric space to rectangular quasi b-metric spaces. We also provide examples in support of our main findings. Furthermore, we applied one of our results to determine the existence of a solution to an integral equation. |
| first_indexed | 2024-04-13T23:56:44Z |
| format | Article |
| id | doaj.art-80330c090f284c028ae84cf2263acd49 |
| institution | Directory Open Access Journal |
| issn | 2730-5422 |
| language | English |
| last_indexed | 2024-04-13T23:56:44Z |
| publishDate | 2022-05-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Fixed Point Theory and Algorithms for Sciences and Engineering |
| spelling | doaj.art-80330c090f284c028ae84cf2263acd492022-12-22T02:23:51ZengSpringerOpenFixed Point Theory and Algorithms for Sciences and Engineering2730-54222022-05-012022112210.1186/s13663-022-00723-wFixed point theorems for generalized ( α , ψ ) $(\alpha ,\psi )$ -contraction mappings in rectangular quasi b-metric spacesBontu Nasir Abagaro0Kidane Koyas Tola1Mustefa Abduletif Mamud2Department of Mathematics, Jimma UniversityDepartment of Mathematics, Jimma UniversityDepartment of Mathematics, Jimma UniversityAbstract In this paper, we introduce the class of rectangular quasi b-metric spaces as a generalization of rectangular metric spaces, rectangular quasi-metric spaces, rectangular b-metric spaces, define generalized ( α , ψ ) $(\alpha ,\psi ) $ -contraction mappings and study fixed point results for the maps introduced in the setting of rectangular quasi b-metric spaces. Our results extend and generalize related fixed point results in the literature, in particular, the works of Karapinar and Lakzian (J. Funct. Spaces 2014:914398, 2014), Alharbi et al. (J. Math. Anal. 9(3):47–60, 2018), and Khuangsatung et al. (Thai J. Math. 2020:89–101, 2020) from rectangular quasi metric space and rectangular b-metric space to rectangular quasi b-metric spaces. We also provide examples in support of our main findings. Furthermore, we applied one of our results to determine the existence of a solution to an integral equation.https://doi.org/10.1186/s13663-022-00723-wFixed pointsRectangular quasi b-metric spacesGeneralized ( α , ψ ) $(\alpha ,\psi ) $ -contraction mappings |
| spellingShingle | Bontu Nasir Abagaro Kidane Koyas Tola Mustefa Abduletif Mamud Fixed point theorems for generalized ( α , ψ ) $(\alpha ,\psi )$ -contraction mappings in rectangular quasi b-metric spaces Fixed Point Theory and Algorithms for Sciences and Engineering Fixed points Rectangular quasi b-metric spaces Generalized ( α , ψ ) $(\alpha ,\psi ) $ -contraction mappings |
| title | Fixed point theorems for generalized ( α , ψ ) $(\alpha ,\psi )$ -contraction mappings in rectangular quasi b-metric spaces |
| title_full | Fixed point theorems for generalized ( α , ψ ) $(\alpha ,\psi )$ -contraction mappings in rectangular quasi b-metric spaces |
| title_fullStr | Fixed point theorems for generalized ( α , ψ ) $(\alpha ,\psi )$ -contraction mappings in rectangular quasi b-metric spaces |
| title_full_unstemmed | Fixed point theorems for generalized ( α , ψ ) $(\alpha ,\psi )$ -contraction mappings in rectangular quasi b-metric spaces |
| title_short | Fixed point theorems for generalized ( α , ψ ) $(\alpha ,\psi )$ -contraction mappings in rectangular quasi b-metric spaces |
| title_sort | fixed point theorems for generalized α ψ alpha psi contraction mappings in rectangular quasi b metric spaces |
| topic | Fixed points Rectangular quasi b-metric spaces Generalized ( α , ψ ) $(\alpha ,\psi ) $ -contraction mappings |
| url | https://doi.org/10.1186/s13663-022-00723-w |
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