The concept of a metric extends the classical idea of distance between two points, which originated in the systematic geometry of Euclid. In modern mathematical foundations, the notion of a metric space was first axiomatized by Maurice René Fréchet [1], who referred to it as an “L-space”. Fréchet’s work laid the groundwork for formalizing distance in more abstract settings, beyond just the Euclidean plane. Later, Felix Hausdorff [2] introduced the term “metric space” as part of his pioneering work on abstract set theory, where he concentrated on the structure and properties of point sets. Hausdorff’s terminology emphasized the role of distance in defining relationships within sets, influencing the development of topology and analysis.