一类广义一致(F,B,ρ)-I_K型不变凸半无限规划的最优性条件

Optimality Conditions for A Class of Semi-infinite Programming under Generalized Uniform Type-(F,B,ρ)-I_K Invexity

利用K-方向导数、K-次微分以及次线性泛函,对一类半无限规划定义了广义一致拟(F,B,ρ)-IK型、广义一致伪(F,B,ρ)-IK型、广义一致拟伪(F,B,ρ)-IK型、广义一致伪拟(F,B,ρ)-IK型以及广义一致(F,B,ρ)-IK型不变凸的新概念,进而在这些新广义不变凸性情形下,给出了半无限规划的最优性充分条件.

In this paper, generalized uniform quasi type-（F, B,ρ）-IK, generalized uniform pseudo type- （F, B,ρ）-IK, generalized uniform quasi-pseudo type-（F, B,ρ）-IK, generalized uniform pseudo-quasi type- （F, B,ρ）-IK and generalized uniform type-（F, B, ρ）-IK invexity are defined by using K-directional derivative, K-subdifferential and sub-linear functional. Some optimality sufficient conditions for semiinfinite programming are given under these new generalized invexity.