一类广义凸多目标变分问题的对偶模型  

A Duality Model for a Class of Generalized Convex Multiobjective Variational Problems

作　　者：敖特根[1] 

机构地区：[1]内蒙古呼伦贝尔学院数学系,内蒙古海拉尔021008

出　　处：《内蒙古大学学报（自然科学版）》2001年第4期361-366,共6页Journal of Inner Mongolia University：Natural Science Edition

摘　　要：考虑一类约束多目标变化问题 ,首先对这类问题提出了一般性对偶模型 ;然后 ,在目标函数和约束函数的广义 (F ,ρ) -凸性假设下 ,证明了原问题和对偶问题关于有效解的一系列弱对偶定理和强对偶定理 .In this paper,a class of constrained multobjective variational problems are considered.A general duality model is formulated for them.Under generalized (F,ρ) convexity assumptions on the objective and the constraint functions involved,a number of weak and strong duality theorems are proved to relate efficint solutions for primal and dual problems.The model and the results given in this paper generalize the corresponding ones of some recent papers in this field.

关 键 词：多目标变分问题 有效性 对偶性 (F ρ)-凸 (F ρ)-伪凸 (F ρ)-拟凸 多目标最优化 

分 类 号：O224[理学—运筹学与控制论]