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.
Mots-clés :
property (β), measures of noncompactness, normal structure, $l^p$-spaces, uniform convexity
Affiliations des auteurs :
J. Ayerbe 1 ; T. Domínguez Benavides 1 ; S. Cutillas 1
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author = {J. Ayerbe and T. Dom{\'\i}nguez Benavides and S. Cutillas},
title = {A modulus for property (\ensuremath{\beta}) of {Rolewicz}},
journal = {Colloquium Mathematicum},
pages = {183--191},
publisher = {mathdoc},
volume = {73},
number = {2},
year = {1997},
doi = {10.4064/cm-73-2-183-191},
language = {pl},
url = {http://geodesic.mathdoc.fr/articles/10.4064/cm-73-2-183-191/}
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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
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