摘要
本文中,我们考虑了由Weir和Mond在文[1]中引入的预不变凸函数,并在没有K的开性条件下得到了一个与中间点预不变凸性有关的预不变凸函数的充分条件,这一结果改进了文[2]的定理3.1。
We consider in this paper the class of preinvex functions introduced by Weir and Mond in [ 1 ] o We get a sufficient condition of preinvex functions in terms of intermediate-point preinvexity without the openness of K o And this result improves Theorem 3 .1 in [2].
关键词
预不变凸函数
上半连续
充分条件
开性
Preinvex functions
Upper semicontinuity
Sufficient condition
Openness