中文摘要：

用一个不完全拉格朗日函数研究一类具有（F,α,ρ，d）凸性假设的非线性规划问题的鞍点最优性判别准则，为了得到最优解与鞍点之间的关系，给出了（F,α,ρ，d）凸性中参数所要满足的条件．

英文摘要：

An incomplete Lagrange function is used to study saddle point optimality criteria for a class of nonlinear programming problems involving （F,α,ρ, d）-convexity assumptions. Conditions for the parameters of （F, α,ρ, d）-convexity are given to establish the relationship between optimal solution and saddle points.