Banach空间中的K-很光滑性和K-很凸性

K-very Smoothness and K-very Convexity in Banach Spece

引入了K 很凸性 ,它既是很凸性的推广 ,又与K 很光滑性具有对偶关系 .证明了K 很光滑性的 5个特征和K 很凸性的

The author introduced K-very convexity which was not only a generalization of the very convexity,but also dual property of the K-very smoothness.The author proved five characteristics of the K-very smoothness and eight characteristics of the K-very convexity,respectively.