Existence theorems on advanced contractions with applications (Q2046590)

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scientific article; zbMATH DE number 7385284
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Existence theorems on advanced contractions with applications
scientific article; zbMATH DE number 7385284

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    Existence theorems on advanced contractions with applications (English)
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    25 August 2021
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    Summary: In this research article, by introducing a mapping \(\varphi\) defined on \([0,\infty)^4\), with some axioms, we define two generalized contractions called \(F_{H^{+}}^{\varphi} \)-contractions and \(\varphi H_{\mathscr{P}}^{+}\)-contractions. We investigate their mutual relation and establish an existence theorem addressing \(F_{H^{+}}^{\varphi} \)-contractions with some applications.
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    Hausdorff partial metric spaces
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    \(F_{H^{+}}^{\varphi} \)-contractions
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    \(\varphi H_{\mathscr{P}}^{+}\)-contractions
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