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On normal structure, stability of fixed point property and the modulus of noncompact convexity

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Summary

We prove that for every noncompactly uniformly convex Banach spaceX there is a constantb=b(X) such that fixed point property with respect to nonexpansive mappings isb-stable. We discuss also relation between normal structure ofX and its coefficient of noncompact convexity.

Sunto

Si dimostra che per ogni spazio di BanachX nocompattamente uniformemente convesso esiste una costanteb=b(X) tale che la proprietà di punto fisso per le mappe nonespansive èb-stabile. Si discute anche la relazione tra struttura normale diX e il suo coefficiente di noncompatta convessità.

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References

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Authors and Affiliations

  1. Instytut Matematyki U.M.C.S. Lublino, Polonia

    Tadeusz Sekowski

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  1. Tadeusz Sekowski
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Sekowski, T. On normal structure, stability of fixed point property and the modulus of noncompact convexity. Seminario Mat. e. Fis. di Milano 56, 147–153 (1986). https://doi.org/10.1007/BF02925143

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  • DOI: https://doi.org/10.1007/BF02925143

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