k-强凸性的一个等价条件的证明

A equivalent relationship of k-Strong Convexity is proved

文献[1]与[2]分别给出了两种形式的Banach空间k-强凸性的概念,但没有证明它们是等价的,因而可能出现概念不统一等情况,为此本文证明了这两种形式的概念是等价的．

The notion of k-strong convexity respectively are introduced： in [1] and [2], but the equivalence of notions is not. proved, the notion is not uniform possibly ,we explore, the notions are equivalent.