Existence and uniqueness of best proximity point in non-Archimedean neutrosophic complete metric space

This paper presents the concept of best proximity points for non-self mappings within the framework of non-Archimedean neutrosophic complete metric spaces. It also introduces two classes of mappings, namely neutrosophic proximal contractions of the first kind and the second kind, and establishes theorems guaranteeing the existence and uniqueness of best proximity points for these contractions.