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Wardowski type contractions and the fixed-circle problem on \(S\)-metric spaces - MaRDI portal

Wardowski type contractions and the fixed-circle problem on \(S\)-metric spaces (Q1728881)

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scientific article; zbMATH DE number 7029806
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Wardowski type contractions and the fixed-circle problem on \(S\)-metric spaces
scientific article; zbMATH DE number 7029806

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    Wardowski type contractions and the fixed-circle problem on \(S\)-metric spaces (English)
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    26 February 2019
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    Summary: In this paper, we present new fixed-circle theorems for self-mappings on an \(S\)-metric space using some Wardowski type contractions, \(\psi\)-contractive, and weakly \(\psi\)-contractive self-mappings. The common property in all of the obtained theorems for Wardowski type contractions is that the self-mapping fixes both the circle and the disc with the center \(x_0\) and the radius \(r\).
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