  Let $(E,\xi)={\rm ind}(E_n, \xi_n)$ be an inductive limit of a sequence
$(E_n, \xi_n)_{n\in N}$ of locally convex spaces and let every step $(E_n,
\xi_n)$ be endowed with a partial order by a pointed convex (solid) cone $S_n$.
In the framework of inductive limits of partially ordered locally convex
spaces, the notions of lastingly efficient points, lastingly weakly efficient
points and lastingly globally properly efficient points are introduced. For
several ordering cones, the notion of non-conflict is introduced. Under the
requirement that the sequence $(S_n)_{n\in N}$ of ordering cones is
non-conflicting, an existence theorem on lastingly weakly efficient points is
presented. From this, an existence theorem on lastingly globally properly
efficient points is deduced.
