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On \(p\)-common best proximity point results for \(\mathcal S\)-weakly contraction in complete metric spaces - MaRDI portal

On \(p\)-common best proximity point results for \(\mathcal S\)-weakly contraction in complete metric spaces (Q1634702)

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scientific article; zbMATH DE number 6994844
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English
On \(p\)-common best proximity point results for \(\mathcal S\)-weakly contraction in complete metric spaces
scientific article; zbMATH DE number 6994844

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    On \(p\)-common best proximity point results for \(\mathcal S\)-weakly contraction in complete metric spaces (English)
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    18 December 2018
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    Summary: In this work, we introduced new notions of a new contraction named \(\mathcal S\)-weakly contraction; after that, we obtained the \(p\)-common best proximity point results for different types of contractions in the setting of complete metric spaces by using weak \(P_p\)-property and proved the uniqueness of these points. Also, we presented some examples to prove the validity of our results.
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    \(p\)-common best proximity point
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    weak \(P_p\)-property
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    \(\mathcal S\)-weakly contraction
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