Convexity and Proximinality in Banach Space

Convexity and Proximinality in Banach Space
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DOI:
10.1155/2012/724120
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发表时间:
2012-01
影响因子:
--
通讯作者:
Z. Zhang;C. Liu
Z. Zhang;C. Liu
中科院分区:
--
文献类型:
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作者:
Z. Zhang;C. Liu

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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 order 𝑝, and locally strongly unique of order 𝑝.