非光滑(F,ρ,θ)-d一致不变凸广义分式规划的最优性条件  

Optimality criteria for a class of generalized fractional programming under nonsmooth(F,ρ,θ)-d-univexity

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）》2009年第3期262-266,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：结合F-凸、η-不变凸及d一致不变凸的概念,给出了非光滑(F,ρ,θ)-d一致不变凸的概念;就一类在凸集C上目标函数为Lipschitz连续的带有可微不等式约束的广义分式规划,在广义Kuhn-Tucker约束品性或广义Arrow-Hurwicz-Uzawa约束品性的条件下,研究了广义分式规划的最优性必要条件;并利用非光滑(F,ρ,θ)-d一致不变凸得到了该规划的最优性充分条件.Combining the definition of F-convexity, η-invexity and d-univexity, the definition of nonsmooth （F,ρ,θ）-d-univexity was introduced. The Kuhn-Tucker type necessary optimality conditions were given for a class of generalized fractional programming of minimizing a local Lipschitz function subject to a set of differentiable nonlinear inequalities on a convex subset C of R, under the generalized Kuhn-Tucker constraint qualifi cation or the generalized Arrow-Hurwicz-Uzawa constraint qualification. Finally, the sufficient optimality condition were proposed under nonsmooth （F,ρ,θ）-d-univexity.

关 键 词：广义分式规划 最优性必要条件 最优性充分条件 非光滑(F ρ θ)-d一致不变凸 

分 类 号：O221.2[理学—运筹学与控制论]