Fixed-Point Theorems for Rational Interpolative-Type Operators with Applications

Fixed-Point Theorems for Rational Interpolative-Type Operators with Applications

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 fractiona...

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Veröffentlicht in:Journal of function spaces 2020, Vol.2020 (2020), p.1-6
Hauptverfasser: Sarwar, Muhammad, Abdeljawad, Thabet, Ahmad, Waseem
Format: Artikel
Sprache:eng
Schlagworte:
Calculus
Fixed points (mathematics)
Fractals
Metric space
Operators
Theorems
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Zusammenfassung: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.
ISSN:2314-8896
2314-8888
DOI:10.1155/2020/7816505