摘要
在一定条件下,当预不变凸函数满足中间点严格、半严格、强预不变凸性时,预不变凸函数成为严格、半严格、强预不变凸函数;当一致不变凸函数满足中间点预不变凸性时,一致不变凸函数成为预不变凸函数;当强预不变凸函数满足中间点严格、半严格强预不变凸性时,强预不变凸函数成为严格、半严格强预不变凸函数.
In this paper, we prove that under certain condition,when preinvex function satisfies intermediate - point strictly preinvexity, semistrictly preinvexity and strongly preinvexity, preinvex function becomes strictly prein- vex function, semistrictly preinvex function and strongly preinvex function; when uniformly invex function satis- fies intermediate - point preinvexity, uniformly invex function becomes preinvex function; when strongly pre- invex function satisfies intermediate - point strictly strongly preinvexity and semistrictly strongly preinvexity, strongly preinvex function becomes strictly strongly preinvex function and semistrictly strongly preinvex function
出处
《哈尔滨师范大学自然科学学报》
CAS
2009年第3期36-39,共4页
Natural Science Journal of Harbin Normal University
