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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Bibliographic Details
Published in:Journal of mathematics (Hidawi) 2021, Vol.2021, p.1-13
Main Authors: Nazam, Muhammad, Aydi, Hassen, Hussain, Aftab
Format: Article
Language:English
Subjects:
Integral equations
Mathematics
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Summary: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.
ISSN:2314-4629
2314-4785
DOI:10.1155/2021/6461477