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

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  • Maria A. Japón Pineda

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.

Suggested Citation

  • Maria A. Japón Pineda, 2003. "The fixed-point property in Banach spaces containing a copy of c 0," Abstract and Applied Analysis, Hindawi, vol. 2003, pages 1-10, January.
    • Handle: RePEc:hin:jnlaaa:152391
    DOI: 10.1155/S1085337503203055
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