学术
摘 要:
给出一对锥约束多目标非线性规划的二阶对称对偶问题，以及二阶F-凸函数类的概念．在二阶F-凸假设下证明了真有效解的对偶性质——弱对偶性、强对偶性及逆对偶性．[著者文摘]
文章出处:
《应用数学》-2006年19卷1期 -127-133页
分 类 号:
文献标识码:
A
文章编号:
1001-9847（2006）01-0127-07
Second-order Symmetric Duality for a Multiobjective Programming Problem with Cone Constraints
CHEN Xiu-hong （Department of Mathematics, Huaiyin Teachers College, Huai＇an 223001 ,China）
Abstract:
A pair of second order symmetric dual problems in multiobjective nonlinear programming with cone constraints is formulated, and the definitions of a class of second-order F- convex functions are introduced, Then, under the second-order F- convex assumptions, dual theorems （weak duality, strong duality and converse duality） related to the properly efficient solution are proved,[著者文摘]
Key words:
Multiobjective program; Second-order symmetric programs; Cone constraint ; Properly efficient solution ; Second-order F- convexity ; Duality theorems
基金资助:
Foundation item：Supported by the Natural Science Foundation of Jiangsu High School （03KJB110012） and Jiangsu Education 0ffice （00KJD110001,01KJD110005）
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