Generalized Interpolative Contractions and an Application

In this study, we introduce a property (P) and the generalized interpolative contractions of types I, II, III, and IV. We investigate certain conditions for the existence of fixed points of generalized interpolative contractions. We derive several new results from the main theorems. As an applicatio...

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Published in:Journal of mathematics (Hidawi) 2021, Vol.2021, p.1-13
Main Authors: Nazam, Muhammad, Aydi, Hassen, Hussain, Aftab
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Language:English
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Integral equations
Mathematics
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description In this study, we introduce a property (P) and the generalized interpolative contractions of types I, II, III, and IV. We investigate certain conditions for the existence of fixed points of generalized interpolative contractions. We derive several new results from the main theorems. As an application, we resolve the Urysohn integral equation.
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subjects Integral equations
Mathematics
title Generalized Interpolative Contractions and an Application
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