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Fixed point of orthogonal \(F\)-Suzuki contraction mapping on \(O\)-complete \(b\)-metric spaces with applications - MaRDI portal

Fixed point of orthogonal \(F\)-Suzuki contraction mapping on \(O\)-complete \(b\)-metric spaces with applications (Q2024585)

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scientific article; zbMATH DE number 7343387
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English
Fixed point of orthogonal \(F\)-Suzuki contraction mapping on \(O\)-complete \(b\)-metric spaces with applications
scientific article; zbMATH DE number 7343387

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    Fixed point of orthogonal \(F\)-Suzuki contraction mapping on \(O\)-complete \(b\)-metric spaces with applications (English)
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    4 May 2021
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    Summary: In this paper, we introduce the concept of generalized orthogonal \(F\)-Suzuki contraction mapping and prove some fixed point theorems on orthogonal \(b\)-metric spaces. Our results generalize and extend some of the well-known results in the existing literature. As an application of our results, we show the existence of a unique solution of the first-order ordinary differential equation.
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    generalized orthogonal \(F\)-Suzuki contraction
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    fixed point theorem
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    orthogonal \(b\)-metric space
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