Convexity and Proximinality in Banach Space

By the continuity of preduality map, we give some necessary and sufficient conditions of the strongly convex and very convex spaces, respectively. Using nearly strong convexity of 𝑋, we give some equivalent conditions that every element in 𝑋 is strongly unique of order 𝑝, bounded strongly unique of...

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Bibliographic Details
Main Authors: Z. H. Zhang, C. Y. Liu
Format: Article
Language:English
Published: Wiley 2012-01-01
Series:Journal of Function Spaces and Applications
Online Access:http://dx.doi.org/10.1155/2012/724120
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