Some fixed point results in function weighted metric spaces
type: Item
instance of: scholarly article
title: Some fixed point results in function weighted metric spaces
zbMATH Open document ID: 1477.54050
DOI: 10.1155/2021/6636504
author: Awais Asif
author: Nawab Hussain
author: Hamed H. Alsulami
author: Muahammad Arshad
published in: Journal of Mathematics
publication date: 2021-06-28T00:00:00Z
review text: Summary: After the establishment of the Banach contraction principle, the notion of metric space has been expanded to more concise and applicable versions. One of them is the conception of \(\mathcal{F}\)-metric, presented by Jleli and Samet. Following the work of Jleli and Samet, in this article, we establish common fixed points results of Reich-type contraction in the setting of \(\mathcal{F}\)-metric spaces. Also, it is proved that a unique common fixed point can be obtained if the contractive condition is restricted only to a subset closed ball of the whole \(\mathcal{F}\)-metric space. Furthermore, some important corollaries are extracted from the main results that describe fixed point results for a single mapping. The corollaries also discuss the iteration of fixed point for Kannan-type contraction in the closed ball as well as in the whole \(\mathcal{F}\)-metric space. To show the usability of our results, we present two examples in the paper. At last, we render application of our results.
Mathematics Subject Classification ID: 54H25
Mathematics Subject Classification ID: 47H10
Mathematics Subject Classification ID: 47H09
zbMATH DE Number: 7363811
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2021/6636504
OpenAlex ID: W3158568428
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description: scientific article; zbMATH DE number 7363811