Endpoints of Generalized Contractions in F-Metric Spaces with Application to Integral Equations

The purpose of this article is to introduce locally α-ζ-multivalued contraction and rational Ćirić type α-ζ-multivalued contraction in the context of F-metric spaces and prove some endpoint results. We provide a nontrivial example to show the authenticity of our main result. Our results generalize s...

Full description

Saved in:
Bibliographic Details
Main Authors: Nabil Mlaiki, Jamshaid Ahmad, Abdullah Eqal Al-Mazrooei
Format: Article
Language:English
Published: Wiley 2022-01-01
Series:Journal of Function Spaces
Online Access:http://dx.doi.org/10.1155/2022/3739382
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary:The purpose of this article is to introduce locally α-ζ-multivalued contraction and rational Ćirić type α-ζ-multivalued contraction in the context of F-metric spaces and prove some endpoint results. We provide a nontrivial example to show the authenticity of our main result. Our results generalize some well-known results of literature. We also present some endpoint results in both graphic F-metric spaces and ordered F-metric spaces. As an application of our main result, we investigate the solution of an integral equation.
ISSN:2314-8888