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Coincidence point theorems for \((\alpha, \beta, \gamma)\)-contraction mappings in generalized metric spaces - MaRDI portal

Coincidence point theorems for \((\alpha, \beta, \gamma)\)-contraction mappings in generalized metric spaces (Q1652916)

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scientific article; zbMATH DE number 6904502
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English
Coincidence point theorems for \((\alpha, \beta, \gamma)\)-contraction mappings in generalized metric spaces
scientific article; zbMATH DE number 6904502

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    Coincidence point theorems for \((\alpha, \beta, \gamma)\)-contraction mappings in generalized metric spaces (English)
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    17 July 2018
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    Summary: The result of our study is that a coincidence point of two mappings \(P\) and \(Q\) can be achieved when the ordered pair \((P, Q)\) is an \((\alpha, \beta, \gamma)\)-contraction with respect to a generalized metric space. Moreover, with some additional condition, a common fixed point can be obtained as a consequence of our main theorems. Further, we apply our findings to some examples and integral equation problems.
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    coincidence point
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    contraction mappings
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