Fixed Points for Triangular α−Admissible Geraghty Contraction Type Mappings in Partial b-Metric Spaces
In this paper, we introduce the notion of generalized C−class functions for Geraghty contraction type mappings on a set X. We utilize our new notion to prove fixed point results in the setting of triangular weak α−admissible mappings with respect to η in Partial b-Metric Spaces. Our results modify a...
| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
| Published: |
Etamaths Publishing
2019-03-01
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| Series: | International Journal of Analysis and Applications |
| Online Access: | http://etamaths.com/index.php/ijaa/article/view/1799 |
| _version_ | 1818904360648704000 |
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| author | Haitham Qawaqneh Mohd Salmi Noorani Wasfi Shatanawi Habes Alsamir |
| author_facet | Haitham Qawaqneh Mohd Salmi Noorani Wasfi Shatanawi Habes Alsamir |
| author_sort | Haitham Qawaqneh |
| collection | DOAJ |
| description | In this paper, we introduce the notion of generalized C−class functions for Geraghty contraction type mappings on a set X. We utilize our new notion to prove fixed point results in the setting of triangular weak α−admissible mappings with respect to η in Partial b-Metric Spaces. Our results modify and improve many exciting results in the literature. Also, we introduce an example and an application to show the validity of our main result. |
| first_indexed | 2024-12-19T21:06:12Z |
| format | Article |
| id | doaj.art-cbc69d4802f14e178705cd27ef0d462d |
| institution | Directory Open Access Journal |
| issn | 2291-8639 |
| language | English |
| last_indexed | 2024-12-19T21:06:12Z |
| publishDate | 2019-03-01 |
| publisher | Etamaths Publishing |
| record_format | Article |
| series | International Journal of Analysis and Applications |
| spelling | doaj.art-cbc69d4802f14e178705cd27ef0d462d2022-12-21T20:05:39ZengEtamaths PublishingInternational Journal of Analysis and Applications2291-86392019-03-01172208225364Fixed Points for Triangular α−Admissible Geraghty Contraction Type Mappings in Partial b-Metric SpacesHaitham Qawaqneh0Mohd Salmi Noorani1Wasfi Shatanawi2Habes Alsamir3School of Mathematical Sciences, Faculty of Science and Technology, Universiti Kebangsaan Malaysia, 43600 UKM, Selangor Darul Ehsan, Malaysia.School of Mathematical Sciences, Faculty of Science and Technology, Universiti Kebangsaan Malaysia, 43600 UKM, Selangor Darul Ehsan, Malaysia.Department of Mathematics, Hashemite University, Zarqa 1315, Jordan.School of Mathematical Sciences, Faculty of Science and Technology, Universiti Kebangsaan Malaysia, 43600 UKM, Selangor Darul Ehsan, Malaysia.In this paper, we introduce the notion of generalized C−class functions for Geraghty contraction type mappings on a set X. We utilize our new notion to prove fixed point results in the setting of triangular weak α−admissible mappings with respect to η in Partial b-Metric Spaces. Our results modify and improve many exciting results in the literature. Also, we introduce an example and an application to show the validity of our main result.http://etamaths.com/index.php/ijaa/article/view/1799 |
| spellingShingle | Haitham Qawaqneh Mohd Salmi Noorani Wasfi Shatanawi Habes Alsamir Fixed Points for Triangular α−Admissible Geraghty Contraction Type Mappings in Partial b-Metric Spaces International Journal of Analysis and Applications |
| title | Fixed Points for Triangular α−Admissible Geraghty Contraction Type Mappings in Partial b-Metric Spaces |
| title_full | Fixed Points for Triangular α−Admissible Geraghty Contraction Type Mappings in Partial b-Metric Spaces |
| title_fullStr | Fixed Points for Triangular α−Admissible Geraghty Contraction Type Mappings in Partial b-Metric Spaces |
| title_full_unstemmed | Fixed Points for Triangular α−Admissible Geraghty Contraction Type Mappings in Partial b-Metric Spaces |
| title_short | Fixed Points for Triangular α−Admissible Geraghty Contraction Type Mappings in Partial b-Metric Spaces |
| title_sort | fixed points for triangular α admissible geraghty contraction type mappings in partial b metric spaces |
| url | http://etamaths.com/index.php/ijaa/article/view/1799 |
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