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Search: MSC category 47H09 ( Contraction-type mappings, nonexpansive mappings, \$A\$-proper mappings, etc. )

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1. CMB 1998 (vol 41 pp. 413)

Llorens-Fuster, Enrique; Sims, Brailey
 The fixed point property in \$\lowercase{c_0}\$ A closed convex subset of \$c_0\$ has the fixed point property (\$\fpp\$) if every nonexpansive self mapping of it has a fixed point. All nonempty weak compact convex subsets of \$c_0\$ are known to have the \$\fpp\$. We show that closed convex subsets with a nonempty interior and nonempty convex subsets which are compact in a topology slightly coarser than the weak topology may fail to have the \$\fpp\$. Categories:47H09, 47H10

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