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Fixed Points for alpha - beta(E) -Geraghty Contractions on b-Metric Spaces and Applications to Matrix Equations
Journal article   Open access  Peer reviewed

Fixed Points for alpha - beta(E) -Geraghty Contractions on b-Metric Spaces and Applications to Matrix Equations

Hassen Aydi, Abdelbasset Felhi, Erdal Karapinar, Hind AlRubaish and Maha AlShammari
Filomat, Vol.33(12), pp.3737-3750
01/01/2019
DOI: https://doi.org/10.2298/FIL1912737A

Abstract

Mathematics Mathematics, Applied Physical Sciences Science & Technology
In this paper, we introduce the notion of alpha - beta(E)-Geraghty contraction type mappings on b-metric spaces and prove the existence and uniqueness of fixed point for such mappings. These results are generalizations of the recent results in [Fulga and Proca, Fixed points for phi(E)-Geraghty contractions, J. Nonlinear Sci. Appl. 10 (2017), 5125-5131]. We give some examples illustrating the presented results. An application on matrix equations and numerical algorithms are also provided.
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https://doi.org/10.2298/FIL1912737AView
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