  The separation of two sets (or more specific of two cones) plays an important
role in different fields of mathematics such as variational analysis, convex
analysis, convex geometry, optimization. In the paper, we derive some new
results for the separation of two not necessarily convex cones by a (convex)
cone / conical surface in real (topological) linear spaces. Basically, we
follow the separation approach by Kasimbeyli (2010, SIAM J. Optim. 20) based on
augmented dual cones and Bishop-Phelps type (normlinear) separating functions.
Classical separation theorems for convex sets are the key tool for proving our
main nonlinear cone separation theorems.
