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Best proximity points in ℱ-metric spaces with applications

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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… Click to show full abstract

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: proximity points; points metric; spaces applications; metric spaces; best proximity

Journal Title: Demonstratio Mathematica
Year Published: 2023

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