TheC M -embedded problem and optimality conditions

In this paper theC _M -embedded problem which is also called the design centering problem in other papers will be described, and new optimality conditions and some results associated with optimality conditions will be presented. These results hold for general non-convex regions. To a certain extent they provide the possibility to develop search techniques. It should be pointed out that, in this paper, the only case where the Minkowski norm is just the Euclidean norm is treated.