Property (M) and the weak fixed point property

Falset, Jesús; Sims, Brailey

doi:10.1090/S0002-9939-97-03953-1

Property (M) and the weak fixed point property
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by Jesús Garcia Falset and Brailey Sims

Proc. Amer. Math. Soc. 125 (1997), 2891-2896

DOI: https://doi.org/10.1090/S0002-9939-97-03953-1

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Abstract:

It is shown that in Banach spaces with the property (M) of Kalton, nonexpansive self mappings of nonempty weakly compact convex sets necessarily have fixed points. The stability of this conclusion under renormings is examined and conditions for such spaces to have weak normal structure are considered.

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