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Fixed point theorems for generalized \(\theta - \phi\)-contractions in \(G\)-metric spaces - MaRDI portal

Fixed point theorems for generalized \(\theta - \phi\)-contractions in \(G\)-metric spaces (Q680374)

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scientific article; zbMATH DE number 6828682
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English
Fixed point theorems for generalized \(\theta - \phi\)-contractions in \(G\)-metric spaces
scientific article; zbMATH DE number 6828682

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    Fixed point theorems for generalized \(\theta - \phi\)-contractions in \(G\)-metric spaces (English)
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    23 January 2018
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    Summary: We introduce the notion of generalized \(\theta - \phi\) contraction and establish some new fixed point theorems for this contraction in the setting of complete \(G\)-metric spaces. The results presented in the paper improve, extend, and unify some known results. Finally, we give an example to illustrate them.
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    generalized \(\theta - \phi\) contraction
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    fixed point theorems
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    complete \(G\)-metric spaces
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