摘要
引入了K -Gateaux可微、K -Fr啨ｃｈｅｔ可微、Ｋ -一致Gateaux可微、K -一致Fr啨ｃｈｅｔ可微等概念 ,并讨论了各种K可微性与对应的K光滑性的关系 ,给出一些等价条件。
The author introduces K-Gateaux differentiablity,K-uniform Gateaux differentiablity, K-Fréchet differentiablity and K-uniform Fréchet differentiablity, and goes further into the relationship between K-smoothness and K- Gateaux differentiablity, K-strong smoothness and K-Fréchet differentiablity, K- uniform smoothness and K-uniform Fréchet differentiablity.
