In this paper, we introduce the concept of an -proximal admissible mappings and establish the existence of best proximity point theorems for implicit relation type modified -proximal contractions. As applications of our theorems, we derive some new best proximity point results for implicit relation type contractions whenever the range space is endowed with a graph or with a partial order. The obtained results generalize, extend, and modify some best proximity point results in the literature. Several interesting consequences of our theorems are also provided.
MSC: 46N40, 47H10, 54H25, 46T99.