一类非可微广义分式规划的非完全Lagrange函数与鞍点最优性准则  

Incomplete Lagrange function and saddle point optimality criteria fora class of nondifferentiable generalized fractional programming

作　　者：罗和治[1] 

机构地区：[1]浙江工业大学理学院

出　　处：《浙江工业大学学报》2004年第3期358-362,共5页Journal of Zhejiang University of Technology

基　　金：浙江省自然科学基金资助项目(602095)

摘　　要：对于一类目标函数中含范数‖Bx‖p的非可微广义分式规划,给出了一个新的非完全Lagrange函数,并利用已有的最优性必要条件,在一类广义(F,α,ρ,d)-凸性的条件下,证明了鞍点最优性准则。For a class of nondifferentiable generalized fractional programming problems with the norm \$‖Bx‖\-p\$ in the objective function involving, a new incomplete Lagrange function is given, and the saddle point optimal criteria are proven by using the existing necessary optimality conditions, under the assumptions of the class of generalized (\$F,α,ρ,d\$)-convexity.

关 键 词：非可微广义分式规划 非完全Lagrange函数 鞍点 广义(F α ρ d)-凸性 

分 类 号：O221.2[理学—运筹学与控制论]