Restricted normal cones are of interest, for instance, in the theory of
local error bounds, where they have recently been used to characterize the exis-
tence of a constrained Lipschitzian error bound. In this paper, we establish rela-
tions between two concepts for restricted normals. The first of these concepts was
introduced in the late 1990s by Studniarski, the second more than ten years later
by Bauschke et al. Under assumptions, suitable for the use in the theory of error
bounds, we explain that the two concepts are the same. Furthermore, we develop
several formulas that simplify the computation of restricted normals.