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Continuum of Zero Points of a Mapping on a Compact, Convex Set

✍ Scribed by Talman, A. J. J.; Yamamoto, Y.


Book ID
118204252
Publisher
Society for Industrial and Applied Mathematics
Year
2004
Tongue
English
Weight
169 KB
Volume
14
Category
Article
ISSN
1052-6234

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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