强G-预不变凸函数

Strong G-Preinvex Functions

主要以强G-预不变凸函数为研究对象,首先在中间点的G-预不变凸性下得到了G-预不变凸函数的一个判定定理,然后将已有文献的结果进行了推广,得到了在中间点的强G-预不变凸性下强G-预不变凸函数的两个重要的判定定理。

Taking strong G-preinvex function as the research object,this paper obtains a judging theorem of G-preinvex function on the middle point of G-preinvexity,and then generalizes the results of the existed literature,finally,obtains two important judging theorems of strong G-preinvex function on the middle point of strong G-preinvexity.