Best Proximity Coincidence Point Results for α, D-Proximal Generalized Geraghty Mappings in JS-Metric Spaces. (23rd November 2020)

• Record Type: Journal Article
• Authors: Wiriyapongsanon, Atit; Charoensawan, Phakdi; Chaobankoh, Tanadon
• Other Names: Isik Huseyin Academic Editor.
• Is Part Of: Journal of function spaces. Volume 2020(2020)
• Publication Date: 2020-11-23
• Subjects: Function spaces -- Periodicals; 515.7305
• DOI: 10.1155/2020/8832662
• Languages: English
• ISSNs: 2314-8896

Abstract

Abstract : We introduce a type of Geraghty contractions in a J S -metric space X, called α, D -proximal generalized Geraghty mappings. By using the triangular-α, D -proximal admissible property, we obtain the existence and uniqueness theorem of best proximity coincidence points for these mappings together with some corollaries and illustrative examples. As an application, we give a best proximity coincidence point result in X endowed with a binary relation.