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 α-preinvexity is established by using local quasi α-preinvexity.
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