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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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2012-01-01
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| Series: | Journal of Function Spaces and Applications |
| Online Access: | http://dx.doi.org/10.1155/2012/724120 |
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| Summary: | 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. |
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| ISSN: | 0972-6802 1758-4965 |