Fixed Points for Triangular α-Admissible Geraghty Contraction Type Mappings in Partial b-Metric Spaces

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Haitham Qawaqneh, Mohd Salmi Noorani, Wasfi Shatanawi, Habes Alsamir, Fixed Points for Triangular α-Admissible Geraghty Contraction Type Mappings in Partial b-Metric Spaces, Int. J. Anal. Appl., 17 (2) (2019), 208-225.

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Haitham Qawaqneh, Mohd Salmi Noorani, Wasfi Shatanawi, Habes Alsamir

Abstract

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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