一致K-(Fb,ρ)-凸多目标半无限规划的Wolfe型对偶性

On duality of Wolfe type for unifined K(F_b , ρ) -convex multiobjective semi-infinite programming

利用K-方向导数和K-次微分,定义了一致K-(Fb,ρ)-凸,一致K-(Fb,ρ)-伪凸和一致K-(Fb,ρ)-拟凸等一些非光滑非凸函数,并研究了涉及此类广义凸性的一类非光滑多目标半无限规划的Wolfe型对偶性.

Some nonsmooth nonconvex functions such as unifined K-（Fb,ρ）-convex, unifined K-（Fb,ρ）- pseudoconvex, unifined K-（Fb,ρ）- quasiconvex functions are defined in terms of the concepts of K-directional derivative and K-subdifferential. And the Wolfe type duality for a class of nonsmooth multiobjectire semi-infinite programming involving those generalized convexity are studied.