Common Best Proximity Point Theorems in JS-Metric Spaces Endowed with Graphs. (11th May 2021)

• Record Type: Journal Article
• Authors: Thangthong, Chaiporn; Charoensawan, Phakdi; Dangskul, Supreedee; Phudolsitthiphat, Narawadee
• Other Names: Hussain Nawab Academic Editor.
• Is Part Of: Journal of function spaces. Volume 2021(2021)
• Publication Date: 2021-05-11
• Subjects: Function spaces -- Periodicals; 515.7305
• DOI: 10.1155/2021/5524494
• Languages: English
• ISSNs: 2314-8896

Abstract

Abstract : In this paper, we introduce a notion of G -proximal edge preserving and dominating G -proximal Geraghty for a pair of mappings, which will be used to present some existence and uniqueness results for common best proximity points. Here, the mappings are defined on subsets of a JS-metric space endowed with a directed graph. An example is also provided to support the results. Moreover, we apply our result to a similar setting, where the JS-metric space is endowed with a binary relation.