一类(h,φ)-ρ_s不变凸规划的对偶性

The duality for a class of (h,f)-ρ_s invex programming

在ρs-凸函数的基础上,利用Ben-Tal广义代数运算,定义了(h,φ)-ρs凸函数和(h,φ)-ρs不凸变函数,给出并证明了涉及这两种凸性的一类(h,φ)-ρs凸规划的几个对偶定理.

On the basis of ρ_s-convex function and ρ_s-invex function,(h,φ)-ρ_s convex function and (h,φ)-ρ_s (invex) function are defined in terms of Ben-Tal's algebraic generalized operations,some dualities for (h,φ)-ρ_s invex programming are given and proved under as above this generalized convexity.