一类非凸非光滑多目标分式规划的最优性条件  

Optimality Conditions for a Class of Nonconvex Nonsmooth Multiobjective Fractional Programming

作　　者：罗勇[1] 姚元金[2] 

机构地区：[1]吉首大学师范学院,湖南吉首416000 [2]吉首大学数学与计算机科学学院,湖南吉首416000

出　　处：《湖北民族学院学报（自然科学版）》2009年第4期398-402,共5页Journal of Hubei Minzu University(Natural Science Edition)

摘　　要：研究了一类非光滑多目标分式规划问题.首先,借助于Clarke广义梯度,引入了一类广义不变凸函数概念.然后,在此基础上,给出并证明了该类非光滑多目标分式规划问题取得有效解和弱有效解的一些充分条件.In this paper,a class of nonsmooth multiobjective fractional programming problem is studied.First,by using Clarke generalized gradient,the concept of a class of generalized invexity function is introduced.And then,sufficient conditions of efficient solutions and weak efficient solutions for the class of nonsmooth multiobjective fractional programming problem are obtained and proved under the concept of the class of generalized invexity function.

关 键 词：广义不变凸 非光滑函数 多目标分式规划 最优性条件 有效解 弱有效解 

分 类 号：O221.6[理学—运筹学与控制论]