The existence and uniqueness of coupled best proximity point for proximally coupled contraction in a complete ordered metric space (Q1723732)
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scientific article; zbMATH DE number 7022065
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | The existence and uniqueness of coupled best proximity point for proximally coupled contraction in a complete ordered metric space |
scientific article; zbMATH DE number 7022065 |
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The existence and uniqueness of coupled best proximity point for proximally coupled contraction in a complete ordered metric space (English)
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14 February 2019
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Summary: We prove the existence and uniqueness of coupled best proximity point for mappings satisfying the proximally coupled contraction in a complete ordered metric space. Further, our result provides an extension of a result due to \textit{T. G. Bhaskar} and \textit{V. Lakshmikantham} [Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 65, No. 7, 1379--1393 (2006; Zbl 1106.47047)].
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existence
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uniqueness
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coupled best proximity point
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proximally coupled contraction
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complete ordered metric space
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