K -Very Convex Space and K -Very Smooth Space
Received:September 03, 2001  
Key Words: K-very convex   K-very smooth   K-strictly convex   midpoint locally K uniformly convex   weakly midpoint locally K uniformly convex.  
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Author NameAffiliation
XIAN Jun Dept. of Math.
Zhongshan University
Guangzhou
China 
LI Yong-jin Dept. of Math.
Zhongshan University
Guangzhou
China 
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Abstract:
      In this paper we introduce a new K convex space, that is K-very convex space with K smooth dual space. The new K convex space and K smooth space are strictly weaker than the old ones. We discuss their properties and the relationship with other K convexities or K smoothness. We generalize some known results.
Citation:
DOI:10.3770/j.issn:1000-341X.2004.03.015
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