A novel approach to some best proximity point theorems in p-cyclic metric spaces with applications

Abstract

In this manuscript, we introduce a new class of generalized (α,ψ)-p-cyclic Geraghty contraction type mappings on p-cyclic metric spaces, where p ∈ N and p≥2. We prove the existence of best proximity point results for such class of mappings in a p-cyclic complete metric space via the Ω class of mappings introduced by Karapinar et al. [13]. Our results extend and generalize many comparable results in the existing literature.