Endpoints of Generalized Contractions in F-Metric Spaces with Application to Integral Equations. (6th June 2022)

• Record Type: Journal Article
• Authors: Mlaiki, Nabil; Ahmad, Jamshaid; Al-Mazrooei, Abdullah Eqal
• Other Names: Taoudi Mohamed A. Academic Editor.
• Is Part Of: Journal of function spaces. Volume 2022(2022)
• Publication Date: 2022-06-06
• Subjects: Function spaces -- Periodicals; 515.7305
• DOI: 10.1155/2022/3739382
• Languages: English
• ISSNs: 2314-8896

Abstract

Abstract : 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.