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

S. S. Razavi; H. P. Masiha; Hüseyin Işık; Hassen Aydi; Choonkil Park

doi:10.3934/math.2022958

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

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

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

Abstract

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.

Original language	English
Pages (from-to)	17393-17402
Number of pages	10
Journal	AIMS Mathematics
Volume	7
Issue number	9
DOIs	https://doi.org/10.3934/math.2022958
Publication status	Published - 2022
Externally published	Yes

Keywords

Geraghty contraction mapping
O-metric space
ordinary differential equation
orthogonal set

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10.3934/math.2022958

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title = "On Geraghty ⊥-contractions in O-metric spaces and an application to an ordinary type differential equation",

abstract = "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.",

keywords = "Geraghty contraction mapping, O-metric space, ordinary differential equation, orthogonal set",

author = "Razavi, {S. S.} and Masiha, {H. P.} and H{\"u}seyin I{\c s}ık and Hassen Aydi and Choonkil Park",

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AU - Razavi, S. S.

AU - Masiha, H. P.

AU - Işık, Hüseyin

AU - Aydi, Hassen

AU - Park, Choonkil

PY - 2022

Y1 - 2022

N2 - 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.

AB - 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.

KW - Geraghty contraction mapping

KW - O-metric space

KW - ordinary differential equation

KW - orthogonal set

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U2 - 10.3934/math.2022958

DO - 10.3934/math.2022958

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JO - AIMS Mathematics

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

Abstract

Keywords

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