具有(F,α,ρ,d)—凸的分式规划问题的最优性条件和对偶性

Optimality Conditions and Duality for a Class of Fractional Programming Problems with(F,α,ρ,d)—Convex Functions

给出了一类非线性分式规划问题的参数形式和非参数形式的最优性条件,在此基础上,构造出了一个参数对偶模型和一个非参数对偶模型,并分别证明了其相应的对偶定理,这些结果是建立在次线性函数和广义凸函数的基础上的.

In this paper, parametric and nonparametric optimality conditions for a class of nonlinear fractional programming problems are presented. Moreover, a parametric and a nonparametric duality models are constructed. Appropriate duality theorems are proved. These results are based on the properties of sublinear functions and generalized convex functions.