Henig proper efficiency in vector optimization with nearly subconvexlike set-valued maps
Xia Liang-yun · 2006
We establish a scalarization theorem,a Lagrange multiplier theorem and duality theorem for Henig proper efficiency with respect to a base in vector optimization problem involving nearly subconvexlike set-valued maps in locally convex topological vector spaces.A new type of saddle point,called Henig saddle point with respect to a base,is introduced and is used to characterize Henig proper efficiency.