Best Proximity Point for Generalized Rational \alpha_s Proximal Contraction

Abstract

Best proximity point problem in S-M(S-metric) spaces is thought to be a generalization of a G- metric spaces. In this study, we provide proof a best proximity points theorem of αs−Proximal mapping admissible and its several types by generalizing the theory of α−admissible mapping in S-M spaces. We present generalized rational αs−Proximal contraction type mappings and investigate the best proximity point in S-M spaces. In addition, we provide an illustration to show how the result can be used.