Fixed point results for rational contraction in function weighted dislocated quasi-metric spaces with an application

<abstract><p>The aim of this article is to obtain common fixed point results for generalized contractions involving control functions of two variables in the context of $ \mathcal{F} $-metric spaces. We also furnish an example to show the originality of our main result. Some results in the context of $ \mathcal{F} $-metric space equipped with a directed graph $ G $ are also established. As an application, we discuss the existence of solution to nonlinear neutral differential equation.</p></abstract>

show abstract

On fixed point results in $ \mathcal{F} $-metric spaces with applications

Zahed

Ahmad

2023

MATH

View full text Add to dashboard Cite

<abstract><p>The aim of this research article is to define locally rational contractions concerning control functions of one variable in the background of $ \mathcal{F} $-metric spaces and establish common fixed point results. We also introduce ($ \alpha ^{\ast } $-$ \psi) $-contractions and generalized ($ \alpha ^{\ast } $, $ \psi, \delta _{\mathcal{F}}) $-contractions in $ \mathcal{F} $-metric spaces and obtain fixed points of multifunctions. A non trivial example is also furnished to manifest the originality of the fundamental result. As application, we investigate the solution of nonlinear neutral differential equation.</p></abstract>

show abstract

scite is a Brooklyn-based organization that helps researchers better discover and understand research articles through Smart Citations–citations that display the context of the citation and describe whether the article provides supporting or contrasting evidence. scite is used by students and researchers from around the world and is funded in part by the National Science Foundation and the National Institute on Drug Abuse of the National Institutes of Health.

Contact Info

hi@scite.ai

10624 S. Eastern Ave., Ste. A-614

Henderson, NV 89052, USA

Blog Terms and Conditions API Terms Privacy Policy Contact Cookie Preferences Do Not Sell or Share My Personal Information

Made with 💙 for researchers

Part of the Research Solutions Family.

Fixed point results for rational contraction in function weighted dislocated quasi-metric spaces with an application

Cited by 3 publications

References 30 publications

Interpolative Hardy Roger's type contraction on a closed ball in ordered dislocated metric spaces and some results

Interpolative Hardy Roger's type contraction on a closed ball in ordered dislocated metric spaces and some results

Common fixed point results in $ \mathcal{F} $-metric spaces with application to nonlinear neutral differential equation

On fixed point results in $ \mathcal{F} $-metric spaces with applications

Contact Info

Product

Resources

About