Abstract
Best proximity point theorem furnishes sufficient conditions for the existence and computation of an approximate solution x that is optimal in the sense that the error d(x; Tx) assumes the global minimum value d (A;B). In this paper, in the setting of semi-preordered metric spaces, we introduce a new notion of hybrid weak Geraghty and Suzuki Type proximal contractions and establish certain best proximity point results for such contractions. Further, we deduce new fixed point results in semi-preordered metric spaces and discuss some illustrative examples to highlight the realized improvements. Presented theorems extend and improve certain well known results from the literature.