含有锥约束的多目标变分问题的广义对称对偶性  

GENERALIZED SYMMETRIC DUALITY FOR MULTIOBJECTIVE VARIATIONAL PROBLEMS WITH CONE CONSTRAINS

作　　者：陈世国[1] 刘家学[1] 

机构地区：[1]空军第一航空学院基础部,河南信阳464000

出　　处：《数学杂志》2011年第6期1145-1151,共7页Journal of Mathematics

摘　　要：本文研究了一类含有锥约束多目标变分问题的广义对称对偶性.利用函数的(F,ρ)-不变凸性的条件,得出了多目标变分问题关于有效解的弱对偶定理、强对偶定理和逆对偶定理,将多目标变分问题的对称对偶性理论推广到含有锥约束的广义对称对偶性上来.In this article, we investigate the generalized symmetric duality for a class of multiobjective variational problems with cone constrains. By using the conditions of the generalized （F, ρ）-convexity on the functions involved, we obtain weak, strong, and converse duality theorems by using the concept of efficiency, this work extends symmetric duality results of multiobjective variational problems to generalized symmetric duality results involving cone constrains.

关 键 词：多目标变分 有效解 广义对称对偶 (F ρ)-凸性 

分 类 号：O224[理学—运筹学与控制论]