Remarks on Recent Results for Generalized <i>F</i>-Contractions

In this paper, we give some remarks on the recent papers on generalized <i>F</i>-contractions. Our results unify and generalize the previous results in the existing literature. Moreover, we give an example to support our results. As an application, we give the existence and uniqueness of...

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Main Authors: Huaping Huang, Vesna Todorčević, Stojan Radenović
Format: Article
Language:English
Published: MDPI AG 2022-02-01
Series:Mathematics
Subjects:
Online Access:https://www.mdpi.com/2227-7390/10/5/768
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author Huaping Huang
Vesna Todorčević
Stojan Radenović
author_facet Huaping Huang
Vesna Todorčević
Stojan Radenović
author_sort Huaping Huang
collection DOAJ
description In this paper, we give some remarks on the recent papers on generalized <i>F</i>-contractions. Our results unify and generalize the previous results in the existing literature. Moreover, we give an example to support our results. As an application, we give the existence and uniqueness of a solution to a class of differential equations.
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spelling doaj.art-da87393a2e0742b19c5b8f20e467d2f12023-11-23T23:23:21ZengMDPI AGMathematics2227-73902022-02-0110576810.3390/math10050768Remarks on Recent Results for Generalized <i>F</i>-ContractionsHuaping Huang0Vesna Todorčević1Stojan Radenović2School of Mathematics and Statistics, Chongqing Three Gorges University, Wanzhou 404020, ChinaDepartment of Mathematics, Faculty of Organizational Sciences, University of Belgrade, Jove Ilića 154, 11000 Belgrade, SerbiaFaculty of Mechanical Engineering, University of Belgrade, Kraljice Marije 16, 11120 Belgrade, SerbiaIn this paper, we give some remarks on the recent papers on generalized <i>F</i>-contractions. Our results unify and generalize the previous results in the existing literature. Moreover, we give an example to support our results. As an application, we give the existence and uniqueness of a solution to a class of differential equations.https://www.mdpi.com/2227-7390/10/5/768strictly increasing functiongeneralized <i>F</i>-contractionfixed pointintegral equation
spellingShingle Huaping Huang
Vesna Todorčević
Stojan Radenović
Remarks on Recent Results for Generalized <i>F</i>-Contractions
Mathematics
strictly increasing function
generalized <i>F</i>-contraction
fixed point
integral equation
title Remarks on Recent Results for Generalized <i>F</i>-Contractions
title_full Remarks on Recent Results for Generalized <i>F</i>-Contractions
title_fullStr Remarks on Recent Results for Generalized <i>F</i>-Contractions
title_full_unstemmed Remarks on Recent Results for Generalized <i>F</i>-Contractions
title_short Remarks on Recent Results for Generalized <i>F</i>-Contractions
title_sort remarks on recent results for generalized i f i contractions
topic strictly increasing function
generalized <i>F</i>-contraction
fixed point
integral equation
url https://www.mdpi.com/2227-7390/10/5/768
work_keys_str_mv AT huapinghuang remarksonrecentresultsforgeneralizedificontractions
AT vesnatodorcevic remarksonrecentresultsforgeneralizedificontractions
AT stojanradenovic remarksonrecentresultsforgeneralizedificontractions