B-(p,r)-不变凸性下广义分式规划的鞍点存在性定理  

Saddle-point type optimality criteria for a class of generalized fractional programming with B-(p,r)-invexity functions

作　　者：童子双[1] 

机构地区：[1]金华职业技术学院师范学院,浙江金华321017

出　　处：《浙江师范大学学报（自然科学版）》2008年第2期136-140,共5页Journal of Zhejiang Normal University:Natural Sciences

基　　金：浙江省教育厅科研项目(20071063)

摘　　要：对于一类目标函数中有无限个分式的广义分式规划,讨论了其最优性充分条件;给出了2个不完全Lagrange函数,并利用已有的最优性必要条件,在B-(p,r)-不变凸性的条件下,证明了鞍点最优性准则.For a class of generalized fractional programming whose objective function was composed of infinite fractions, a sugicient condition was presented and two incomplete lagrange functions were given. The saddlepoint type optimality criteria were proved by using the existing necessary conditions, under the assumption of the class of B-（ p, r） -invexity.

关 键 词：广义分式规划 充分条件 不完全Lagrange函数 鞍点 B-(p r)-不变凸 

分 类 号：O221.2[理学—运筹学与控制论]