Fixed Point Results of Jaggi-Type Hybrid Contraction in Generalized Metric Space
In this manuscript, a new family of contractions called Jaggi-type hybrid G−ϕ-contraction is introduced and some fixed point results in generalized metric space that are not deducible from their akin in metric space are obtained. The preeminence of this class of contractions is that its contractive...
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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 Function Spaces |
| Online Access: | http://dx.doi.org/10.1155/2022/2205423 |
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| _version_ | 1849409740415696896 |
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| author | Jamilu Abubakar Jiddah Monairah Alansari OM Kalthum S. K. Mohamed Mohammed Shehu Shagari Awad A. Bakery |
| author_facet | Jamilu Abubakar Jiddah Monairah Alansari OM Kalthum S. K. Mohamed Mohammed Shehu Shagari Awad A. Bakery |
| author_sort | Jamilu Abubakar Jiddah |
| collection | DOAJ |
| description | In this manuscript, a new family of contractions called Jaggi-type hybrid G−ϕ-contraction is introduced and some fixed point results in generalized metric space that are not deducible from their akin in metric space are obtained. The preeminence of this class of contractions is that its contractive inequality can be extended in a variety of manners, depending on the given parameters. Consequently, several corollaries that reduce our result to other well-known results in the literature are highlighted and analyzed. Substantial examples are constructed to validate the assumptions of our obtained theorems and to show their distinction from corresponding results. Additionally, one of our obtained corollaries is applied to set up unprecedented existence conditions for the solution of a family of integral equations. |
| format | Article |
| id | doaj-art-7da264a55b2f4ba5bb557311972d306c |
| institution | Kabale University |
| issn | 2314-8888 |
| language | English |
| publishDate | 2022-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Function Spaces |
| spelling | doaj-art-7da264a55b2f4ba5bb557311972d306c2025-08-20T03:35:24ZengWileyJournal of Function Spaces2314-88882022-01-01202210.1155/2022/2205423Fixed Point Results of Jaggi-Type Hybrid Contraction in Generalized Metric SpaceJamilu Abubakar Jiddah0Monairah Alansari1OM Kalthum S. K. Mohamed2Mohammed Shehu Shagari3Awad A. Bakery4Department of MathematicsDepartment of MathematicsCollege of Science and Arts at KhulisDepartment of MathematicsCollege of Science and Arts at KhulisIn this manuscript, a new family of contractions called Jaggi-type hybrid G−ϕ-contraction is introduced and some fixed point results in generalized metric space that are not deducible from their akin in metric space are obtained. The preeminence of this class of contractions is that its contractive inequality can be extended in a variety of manners, depending on the given parameters. Consequently, several corollaries that reduce our result to other well-known results in the literature are highlighted and analyzed. Substantial examples are constructed to validate the assumptions of our obtained theorems and to show their distinction from corresponding results. Additionally, one of our obtained corollaries is applied to set up unprecedented existence conditions for the solution of a family of integral equations.http://dx.doi.org/10.1155/2022/2205423 |
| spellingShingle | Jamilu Abubakar Jiddah Monairah Alansari OM Kalthum S. K. Mohamed Mohammed Shehu Shagari Awad A. Bakery Fixed Point Results of Jaggi-Type Hybrid Contraction in Generalized Metric Space Journal of Function Spaces |
| title | Fixed Point Results of Jaggi-Type Hybrid Contraction in Generalized Metric Space |
| title_full | Fixed Point Results of Jaggi-Type Hybrid Contraction in Generalized Metric Space |
| title_fullStr | Fixed Point Results of Jaggi-Type Hybrid Contraction in Generalized Metric Space |
| title_full_unstemmed | Fixed Point Results of Jaggi-Type Hybrid Contraction in Generalized Metric Space |
| title_short | Fixed Point Results of Jaggi-Type Hybrid Contraction in Generalized Metric Space |
| title_sort | fixed point results of jaggi type hybrid contraction in generalized metric space |
| url | http://dx.doi.org/10.1155/2022/2205423 |
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