A modulus for property (β) of Rolewicz
Colloquium Mathematicum, Tome 73 (1997) no. 2, pp. 183-191.

Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences

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.
DOI : 10.4064/cm-73-2-183-191
Mots-clés : property (β), measures of noncompactness, normal structure, $l^p$-spaces, uniform convexity

J. Ayerbe 1 ; T. Domínguez Benavides 1 ; S. Cutillas 1

1
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J. Ayerbe; T. Domínguez Benavides; S. Cutillas. A modulus for property (β) of Rolewicz. Colloquium Mathematicum, Tome 73 (1997) no. 2, pp. 183-191. doi : 10.4064/cm-73-2-183-191. http://geodesic.mathdoc.fr/articles/10.4064/cm-73-2-183-191/

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