Cone-convex, cone-monotonic and positively continuous homogeneous operators are used as duality variables and the Lagrange duality of vector maximization problem in Banach space is discussed. The results are the exten...Cone-convex, cone-monotonic and positively continuous homogeneous operators are used as duality variables and the Lagrange duality of vector maximization problem in Banach space is discussed. The results are the extension of Ref[1,3,4] to some extent.The only tool used in the proof of theorem is Eidelheit separated theorem of two convex sets.展开更多
文摘Cone-convex, cone-monotonic and positively continuous homogeneous operators are used as duality variables and the Lagrange duality of vector maximization problem in Banach space is discussed. The results are the extension of Ref[1,3,4] to some extent.The only tool used in the proof of theorem is Eidelheit separated theorem of two convex sets.
