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A modulus for property (β) of Rolewicz

J. Ayerbe; T. Domínguez Benavides; S. Cutillas — 1997

Colloquium Mathematicae

We define a modulus for the property (β) of Rolewicz and study some useful properties in fixed point theory for nonexpansive mappings. Moreover, we calculate this modulus in $l^{p}$ spaces for the main measures of noncompactness.

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