一类非凸非线性分式规划的最优性条件  

Optimality Conditions for a Class of Nonconvex Nonlinear Fractional Programming

作　　者：姚元金[1] 

机构地区：[1]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2期195-197,229,共4页Journal of Hubei Minzu University(Natural Science Edition)

摘　　要：引入了广义不变凸、广义不变伪凸和广义不变拟凸等几类新的广义不变凸函数概念,使凸函数得到更广泛的推广,并由此进一步给出并证明了在这些新广义不变凸性条件下,一类非凸非线性分式规划的一些最优性充分条件.In this paper, several classes of new generalized invexity conditions are defined on the basis of defined generalized invexity conditions. They are generalized invex, generalized pseudoconvex, generalized quasiconvex function and so on. The convex function is more widely extended. And then some optimal sufficient conditions are proved under these new generalized invexity sufficient conditions for a class of nonconvex nonlinear fractional programming.

关 键 词：广义不变凸 非线性分式规划 最优性条件 最优解 

分 类 号：O221.2[理学—运筹学与控制论]