Fixed point theory in \(\alpha\)-complete metric spaces with applications (Q1723749)
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scientific article; zbMATH DE number 7022081
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Fixed point theory in \(\alpha\)-complete metric spaces with applications |
scientific article; zbMATH DE number 7022081 |
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Fixed point theory in \(\alpha\)-complete metric spaces with applications (English)
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14 February 2019
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Summary: The aim of this paper is to introduce new concepts of \(\alpha\)-\(\eta\)-complete metric space and \(\alpha\)-\(\eta\)-continuous function and establish fixed point results for modified \(\alpha\)-\(\eta\)-\(\psi\)-rational contraction mappings in \(\alpha\)-\(\eta\)-complete metric spaces. As an application, we derive some Suzuki type fixed point theorems and new fixed point theorems for \(\psi\)-graphic-rational contractions. Moreover, some examples and an application to integral equations are given here to illustrate the usability of the obtained results.
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\(\alpha\)-\(\eta\)-complete metric space
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\(\alpha\)-\(\eta\)-continuous function
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fixed point
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modified \(\alpha\)-\(\eta\)-\(\psi\)-rational contraction mapping
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