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On the extreme points of the sum of two compact convex sets

โœ Scribed by T. Husain; I. Tweddle


Publisher
Springer
Year
1970
Tongue
English
Weight
588 KB
Volume
188
Category
Article
ISSN
0025-5831

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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