一致F_(b,ε)-凸多目标半无限规划ε-有效解的充分性

On sufficiency of ε-efficient solutions of unified F_(b,ε)-convex multiobjective semi-infinite programming

利用C larke广义梯度,定义了一致Fb,ε-凸函数和严格一致Fb,ε-凸函数,得到了涉及这些广义凸性和一致Fb-伪凸函数、一致Fb-拟凸函数等一些非光滑非凸函数的一类非光滑多目标半无限规划的一些K uhn-Tucker型充分性条件.

Unified Fb,ε-cconvex and strictly unified Fb,ε-convex functions are defined in terms of Clarke generalized gradient. And some Kuhn-Tucker type optimality conditions for a class of nonsmooth multiobjeetive semi-infinite programming involving these generalized convexity and some nonsmooth nonconvex functions such as unified Fb-pseudoconvex, unified Fb-quasiconvex functions are obtained.