Uniqueness of the saddle points for most of the lagrange functions of the linear semi-infinite optimization
Maxim Ivanov Todorov · Numerical Functional Analysis and Optimization · 1989
It is proved that the majority (in the sense of Baire category) of the Lagrange functions of the linear semi-infinite optimization have at most one saddle point. The structure of the set of Lagrange functions for which the saddle point exists is also discussed.