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Weakly compact sets in

✍ Scribed by Surjit Singh Khurana


Book ID
113710342
Publisher
Elsevier Science
Year
2012
Tongue
English
Weight
99 KB
Volume
263
Category
Article
ISSN
0022-1236

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In this paper, we prove that every isometry from a nonempty weakly compact convex set K into itself fixes a point in the Chebyshev center of K, provided K satisfies the hereditary fixed point property for isometries. In particular, all isometries from a nonempty bounded closed convex subset of a uni