Existence of best proximity point with an application to nonlinear integral equations (Q2051635)
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scientific article; zbMATH DE number 7433065
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Existence of best proximity point with an application to nonlinear integral equations |
scientific article; zbMATH DE number 7433065 |
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Existence of best proximity point with an application to nonlinear integral equations (English)
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24 November 2021
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Summary: Using the idea of modified \(\varrho\)-proximal admissible mappings, we derive some new best proximity point results for \(\varrho-\vartheta\)-contraction mappings in metric spaces. We also provide some illustrations to back up our work. As a result of our findings, several fixed-point results for such mappings are also found. We obtain the existence of a solution for nonlinear integral equations as an application.
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modified \(\varrho\)-proximal admissible mapping
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best proximity point
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\(\varrho\)-\(\vartheta\)-contraction mapping
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metric space
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0.8754680752754211
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0.8166868686676025
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0.8164331316947937
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0.8133764266967773
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