具有不变广义B-凸函数的非光滑多目标规划的最优性条件  

Optimality Conditions for Non-smooth Multi-objective Programming with Generalized B-invariant Functions

作　　者：王巧珍[1] 曹荣梅[1] 

机构地区：[1]武汉科技大学理学院,湖北武汉430065

出　　处：《甘肃联合大学学报（自然科学版）》2010年第5期21-23,共3页Journal of Gansu Lianhe University :Natural Sciences

摘　　要：借助于连通B-函数的定义,本文提出了连通B-不变凸,连通B-不变拟凸,连通B-不变伪凸等概念,并将这类广义连通B-凸函数应用于非光滑多目标规划问题,得到了相应的充分性条件.With the help of some definitions of the connected B-vex functions,this paper defines connected B-invariant vex,connected B-invariant pseudoconvex,and connected B-invariant quasiconvex.These connected B-invariant functions are applied to non-smooth multi-objective programming.Some corresponding sufficient conditions were given.

关 键 词：连通B-凸函数 连通B-不变凸函数 多目标规划 充分最优条件 

分 类 号：O221.6[理学—运筹学与控制论]