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Rational interpolative contractions with applications in extended b-metric spaces

Muhammad Sarwar, Muhammad Fawad,Muhammad Rashid,Zoran D. Mitrovic,Qian-Qian Zhang,Nabil Mlaiki

AIMS MATHEMATICS（2024）

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Abstract
In this manuscript, utilizing interpolative contractions with fractional forms, some unique fixed-point results were studied in the context of extended b -metric spaces. For the validity of the presented results some examples are given. In the last section an existence theorem is provided to study the existence of a solution for the Fredholm integral equation.
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Key words
fixed point,metric space,interpolative contractions,extended b-metric space,integral equation
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