ɑ-预不变凸函数的新刻画

New Characterizations of α-Preinvex Function

文章利用局部半严格ɑ-预拟不变凸性建立了ɑ-预不变凸性的一个新刻画,分析了局部ɑ-预拟不变凸性与ɑ-预拟不变凸性之间的关系,并在此基础上,利用局部ɑ-预拟不变凸性建立了ɑ-预不变凸性的另一个新刻画来研究了ɑ-预不变凸性的新刻画。

The new properties of α-preinvexity are studied. Firstly, we establish the characterizations of α-preinvexity by local semistrictly quasi α-preinvexity. Then we study the relations between quasi α-preinvexity and locally quasi α-preinvexity, on this basis, the a-preinvexity is established by using local quasi α-preinvexity.