Best proximity points of generalized almost ψ-Geraghty contractive non-self-mappings

In this paper, we introduce the new notion of almost ψ-Geraghty contractive mappings and investigate the existence of a best proximity point for such mappings in complete metric spaces via the weak P-property. We provide an example to validate our best proximity point theorem. The obtained results extend, generalize, and complement some known fixed and best proximity point results from the literature. MSC:47H10, 54H25, 46J10, 46J15.