We study the related properties of QV-maps on a BM-algebra and show that a function f defined on a BM-algebra which is both IQV and SQV-map is a contraction map. We observe that the set of all IQV-maps and the set of all SQV-maps form a monoid under addition. We also obtain that the binary operation defined in a BM-algebra is Lipschitz continuous with the Lipschitz constant 2. We construct a uniformity using an IQV-map so that a BM-algebra becomes a uniform space. © 2019 Author(s).