On Geraghty $ \perp $-contractions in $ O $-metric spaces and an application to an ordinary type differential equation

S S Razavi,Hassen Aydi,Hüseyin Işık,H P Masiha,Choonkil Park

doi:10.3934/math.2022958

On Geraghty $ \perp $-contractions in $ O $-metric spaces and an application to an ordinary type differential equation

S S Razavi, Hassen Aydi + Show 3 more

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https://doi.org/10.3934/math.2022958

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Journal: AIMS Mathematics	Publication Date: Jan 1, 2022
License type: cc-by

Affiliation: K.N.Toosi University of Technology, China Medical University, Sefako Makgatho Health Sciences University, Bandırma Onyedi Eylül University, Hanyang University

#Ordinary Differential Equation #Geraghty Type + Show 5 more

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Abstract

<abstract><p>By combining the concept of orthogonality and the Geraghty type contraction, we give some fixed point results in the class of $ O $-metric spaces. Our obtained results extend the existing results in the literature. We also resolve an ordinary type differential equation.</p></abstract>

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