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 |
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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 |
| Summary: | 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. |
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| ISSN: | 2291-8639 |