Best proximity points in ℱ-metric spaces with applications

Abstract

The aim of this article is to introduce α\alpha -ψ\psi -proximal contraction in the setting of ℱ-metric space and prove the existence of best proximity points for these contractions. As applications of our main results, we obtain coupled best proximity points on ℱ-metric space equipped with an arbitrary binary relation.

Keywords

• best proximity point
• α-ψ-proximal contraction
• non-self mappings
• coupled best proximity point
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