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On generalized rational \(\alpha\)-Geraghty contraction mappings in \(G\)-metric spaces - MaRDI portal

On generalized rational \(\alpha\)-Geraghty contraction mappings in \(G\)-metric spaces (Q2034618)

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scientific article; zbMATH DE number 7362012
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On generalized rational \(\alpha\)-Geraghty contraction mappings in \(G\)-metric spaces
scientific article; zbMATH DE number 7362012

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    On generalized rational \(\alpha\)-Geraghty contraction mappings in \(G\)-metric spaces (English)
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    22 June 2021
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    Summary: In this paper, we discuss about various generalizations of \(\alpha\)-admissible mappings. Furthermore, we extend the concept of \(\alpha\)-admissible to generalize rational \(\alpha\)-Geraghty contraction in \(G\)-metric space. With this new contraction mapping, we establish some fixed-point theorems in \(G\)-metric space. The obtained result is verified with an example.
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