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The fixed-point property in Banach spaces containing a copy of c 0

Maria A. Japón Pineda

Abstract and Applied Analysis, 2003, vol. 2003, 1-10

Abstract:

We prove that every Banach space containing an isomorphic copy of c 0 fails to have the fixed-point property for asymptotically nonexpansive mappings with respect to some locally convex topology which is coarser than the weak topology. If the copy of c 0 is asymptotically isometric, this result can be improved, because we can prove the failure of the fixed-point property for nonexpansive mappings.

Date: 2003
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlaaa:152391

DOI: 10.1155/S1085337503203055

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