2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/103774A Smarandache multi-space is a union of $n$ spaces $A_1,A_2,..., A_n$ with some additional conditions holding. Combining Smarandache multi-spaces with classical metric spaces, the conception of multi-metric space is introduced. Some characteristics of a multi-metric space are obtained and Banach's fixed-point theorem is generalized in this paper.9 pagesGeneral Mathematics51D99,51K05,51M05text