Generalized Interpolative Contractions and an Application

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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Autores principales: Muhammad Nazam, Hassen Aydi, Aftab Hussain
Formato: article
Lenguaje:EN
Publicado: Hindawi Limited 2021
Materias:
Mathematics
QA1-939
Acceso en línea:https://doaj.org/article/c665ad6588334959babf0f2b5eb1a81b
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spelling oai:doaj.org-article:c665ad6588334959babf0f2b5eb1a81b2021-11-29T00:56:19ZGeneralized Interpolative Contractions and an Application2314-478510.1155/2021/6461477https://doaj.org/article/c665ad6588334959babf0f2b5eb1a81b2021-01-01T00:00:00Zhttp://dx.doi.org/10.1155/2021/6461477https://doaj.org/toc/2314-4785In 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.Muhammad NazamHassen AydiAftab HussainHindawi LimitedarticleMathematicsQA1-939ENJournal of Mathematics, Vol 2021 (2021)
institution DOAJ
collection DOAJ
language EN
topic Mathematics
QA1-939
spellingShingle Mathematics
QA1-939
Muhammad Nazam
Hassen Aydi
Aftab Hussain
Generalized Interpolative Contractions and an Application
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.
format article
author Muhammad Nazam
Hassen Aydi
Aftab Hussain
author_facet Muhammad Nazam
Hassen Aydi
Aftab Hussain
author_sort Muhammad Nazam
title Generalized Interpolative Contractions and an Application
title_short Generalized Interpolative Contractions and an Application
title_full Generalized Interpolative Contractions and an Application
title_fullStr Generalized Interpolative Contractions and an Application
title_full_unstemmed Generalized Interpolative Contractions and an Application
title_sort generalized interpolative contractions and an application
publisher Hindawi Limited
publishDate 2021
url https://doaj.org/article/c665ad6588334959babf0f2b5eb1a81b
work_keys_str_mv AT muhammadnazam generalizedinterpolativecontractionsandanapplication
AT hassenaydi generalizedinterpolativecontractionsandanapplication
AT aftabhussain generalizedinterpolativecontractionsandanapplication
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