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Analysis of a relational fixed point problem - MaRDI portal

Analysis of a relational fixed point problem (Q6641821)

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scientific article; zbMATH DE number 7947826
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Analysis of a relational fixed point problem
scientific article; zbMATH DE number 7947826

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    Analysis of a relational fixed point problem (English)
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    21 November 2024
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    The authors prove the existence of fixed points for a Mizoguchi-Takahashi-Kannan type contraction in a metric space endowed with a binary relation. Uniqueness of a fixed point is proved under additional hypothesis. Some appropriate examples are presented. Hyers-Ulam-Rassias stability and a data dependence result are also considered.
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    fixed point
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    \(MT\)-function
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    Kannan type contraction
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    binary relation
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    Hyers-Ulam-Rassias stability
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    data dependence
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