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
In this paper some optimality criteria are proved and some Mond\|Weir type duality theorem for multiobjective fractional programming problems defined in a Banach space is obtained.
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.
文摘In this paper some optimality criteria are proved and some Mond\|Weir type duality theorem for multiobjective fractional programming problems defined in a Banach space is obtained.
