若干近凸空间和近光滑空间的注记

摘要

This paper points out that two definitions of near-strong convexity （resp. near-very convexity, locally near uniformly smoothness） are equavlent. Some reslults about near-strong con-vexity （resp. near-very convexity, locally near uniformly smoothness） are unified.%指出了关于近-强凸（近-非常凸、局部近-一致光滑）的两种不同形式的定义实质上是等价的,从而统一了有关文献中的一些结果.