On \((\alpha, \nu)\)-relaxed polygonal metric spaces and fixed point results (Q6644131)
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scientific article; zbMATH DE number 7950010
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On \((\alpha, \nu)\)-relaxed polygonal metric spaces and fixed point results |
scientific article; zbMATH DE number 7950010 |
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On \((\alpha, \nu)\)-relaxed polygonal metric spaces and fixed point results (English)
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27 November 2024
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The author of this interesting and well-written paper first introduces and studies a class of polygonal metric spaces and then establishes several fixed point theorems in the spirit of \textit{S. Banach} [Fundam. Math. 3, 133--181 (1922; JFM 48.0201.01)] and of \textit{R. Kannan} [Bull. Calcutta Math. Soc. 60, 71--76 (1968; Zbl 0209.27104)]. Pertinent examples are also provided.\N\NReviewer's remark: A theorem which extends both the Banach and the Kannan fixed point theorems is presented in the paper by \textit{S. Reich} [Canad. Math. Bull. 14, 121--124 (1971; Zbl 0211.26002)].
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\((\alpha, \nu)\)-relaxed polygonal metric spaces
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\((\alpha, \nu)\)-metric bounded distances
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\(s\)-relaxed\(_p\) metric spaces
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semi-metric spaces
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fixed points
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