一类一致F_b-凸多目标半无限规划的最优性条件

Optimality conditions for a class of unified F_b-convex multiple-objective semi-infinte programming

利用 Clarke广义梯度 ,引入了一致 Fb-凸 ,一致 Fb-伪凸和一致 Fb-拟凸等几类非光滑非凸函数的概念 ,得到了涉及这些凸性的一类非光滑多目标半无限规划的一些 Kuhn- Tucker型最优性条件。

In this paper, several concepts of nonsmooth nonconvex functions(i.e.,unified F b convex,unified F b pseudo convex,unified F b quasi convex functions) are introduced by using Clarkes generalized gradient. And then some Kuhn Tucker type optimality sufficient conditions for a class of nonsmooth multiple objectons semi infinite programming are obtained under these new generalized convexity.