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Fixed-point theorems for rational interpolative-type operators with applications - MaRDI portal

Fixed-point theorems for rational interpolative-type operators with applications (Q2220500)

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Fixed-point theorems for rational interpolative-type operators with applications
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    Fixed-point theorems for rational interpolative-type operators with applications (English)
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    25 January 2021
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    Summary: In the current manuscript, two fixed-point theorems for Dass-Gupta and Gupta-Saxena rational interpolative-type operators are studied in the setting of metric spaces. For the authenticity of the presented work, examples and applications to the existence of a solution to the Caputo-Fabrizio fractional derivative and Caputo-Fabrizio fractal-fractional derivative are also discussed.
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    Dass-Gupta rational interpolative-type operators
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    Gupta-Saxena rational interpolative-type operators
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    metric spaces
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    Caputo-Fabrizio fractional derivative
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    Caputo-Fabrizio fractal-fractional derivative
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