For the proximal mappings in n-dimensional Euclidean spaces, the norm is generalized to a more general Bregman distance. The basic properties of the proximal mappings in the sense of Bregman m distance are studied. Under what conditions the proximal mappings are a singleton. A concrete example is given for the conclusion of the theorem and generalization of the second proximal mapping theorem under Bregman distance. By using a special indicator function δc, the equivalent relation between the orthogonal projection of a set and the adjacent mapping is obtained.