%0 Journal Article %T Remarks on New Properties of Preinvex Functions %A Zaiyun Peng %A Yawei Liu %A X. J. Long %J Modern Applied Science %D 2009 %I %R 10.5539/mas.v3n11p11 %X A new type of generalized convex functions, termed preinvex functions, is further discussed in this paper. A new result that if a preinvex function satisfies intermediate-point semistrict preinvexity then it is also a semistrictly preinvex function is obtained. Furthermore, another simplified proof for a criterion of preinvex functions under weaker conditions and an impotant application of preinvex functions are given. %U http://www.ccsenet.org/journal/index.php/mas/article/view/4305