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FIXED POINTS FOR TRIANGULAR alpha-ADMISSIBLE GERAGHTY CONTRACTION TYPE MAPPINGS IN PARTIAL b-METRIC SPACES
Journal article   Open access  Peer reviewed

FIXED POINTS FOR TRIANGULAR alpha-ADMISSIBLE GERAGHTY CONTRACTION TYPE MAPPINGS IN PARTIAL b-METRIC SPACES

Haitham Qawaqneh, Mohd Salmi Noorani, Wasfi Shatanawi and Habes Alsamir
International journal of analysis and applications, Vol.17(2), pp.208-225
01/01/2019

Abstract

Mathematics Physical Sciences Science & Technology
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 alpha-admissible mappings with respect to eta 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.
url
https://doi.org/10.28924/2291-8639-17-2019-208View
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