Fixed point theorems for generalized \(\alpha_s\)-\(\psi\)-contractions with applications (Q1671189)
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scientific article; zbMATH DE number 6933361
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Fixed point theorems for generalized \(\alpha_s\)-\(\psi\)-contractions with applications |
scientific article; zbMATH DE number 6933361 |
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Fixed point theorems for generalized \(\alpha_s\)-\(\psi\)-contractions with applications (English)
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6 September 2018
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Summary: We study the sufficient conditions for the existence of a unique common fixed point of generalized \(\alpha_s\)-\(\psi\)-Geraghty contractions in an \(\alpha_s\)-complete partial \(b\)-metric space. We give an example in support of our findings. Our work generalizes many existing results in the literature. As an application of our findings we demonstrate the existence of the solution of the system of elliptic boundary value problems.
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