Abstract

This paper extends best proximity point theorems in metric spaces by incorporating the notion of generalized ψ-ϕ contractions. We establish results for a single and a pairs of non-self mappings and demonstrating that the existence and uniqueness of best proximity points under some specific conditions. The obtained results also provide convergence results for sequences generated by these mappings. Additionally, we discuss how these results are related to the celebrated classical Banach contraction principle in the settings of metric spaces.