Benson Proper Efficiency in Generalized Convex Vector Optimization
Sun Da-wei · Journal of Dongguan University of Technology · 2010
This paper studies nearly cone-subconvexlike vector optimization in locally-convex Hausdorff topological vector spaces by alternative theorem of nearly cone-subconvexlike maps.It points out the relations between Benson proper efficiency in vector optimization and optimal solution in scalarization problems and establishes Benson proper efficiency in unconstraint vector optimization under nearly cone-subconvexlikeness.The results indicate that under some conditions Benson proper efficiency in vector optimization is the same as the optimal solution in scalarization problems,and as Benson proper efficiency in unconstraint vector optimization.