Best proximity point results for Geraghty type \(\mathcal{Z}\)-proximal contractions with an application (Q2306611)
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| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Best proximity point results for Geraghty type \(\mathcal{Z}\)-proximal contractions with an application |
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Best proximity point results for Geraghty type \(\mathcal{Z}\)-proximal contractions with an application (English)
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24 March 2020
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Summary: In this study, we establish the existence and uniqueness theorems of the best proximity points for Geraghty type \(\mathcal{Z}\)-proximal contractions defined on a complete metric space. The presented results improve and generalize some recent results in the literature. An example, as well as an application to a variational inequality problem are also given in order to illustrate the effectiveness of our generalizations.
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best proximity point
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\(\mathcal{Z}\)-contraction
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Geraghty type contraction
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simulation function
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admissible mapping
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variational inequality
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