A modulus for property (β) of Rolewicz

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

Colloquium Mathematicae (1997)

  • Volume: 73, Issue: 2, page 183-191
  • ISSN: 0010-1354

Abstract

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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.

How to cite

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Ayerbe, J., Domínguez Benavides, T., and Cutillas, S.. "A modulus for property (β) of Rolewicz." Colloquium Mathematicae 73.2 (1997): 183-191. <http://eudml.org/doc/210484>.

@article{Ayerbe1997,
abstract = {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.},
author = {Ayerbe, J., Domínguez Benavides, T., Cutillas, S.},
journal = {Colloquium Mathematicae},
keywords = {property (β); measures of noncompactness; normal structure; $l^p$-spaces; uniform convexity; modulus; property of Rolewicz; fixed point theory; nonexpansive mappings; spaces},
language = {eng},
number = {2},
pages = {183-191},
title = {A modulus for property (β) of Rolewicz},
url = {http://eudml.org/doc/210484},
volume = {73},
year = {1997},
}

TY - JOUR
AU - Ayerbe, J.
AU - Domínguez Benavides, T.
AU - Cutillas, S.
TI - A modulus for property (β) of Rolewicz
JO - Colloquium Mathematicae
PY - 1997
VL - 73
IS - 2
SP - 183
EP - 191
AB - 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.
LA - eng
KW - property (β); measures of noncompactness; normal structure; $l^p$-spaces; uniform convexity; modulus; property of Rolewicz; fixed point theory; nonexpansive mappings; spaces
UR - http://eudml.org/doc/210484
ER -

References

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  2. [ADF] J. M. Ayerbe, T. Domínguez Benavides and S. Francisco Cutillas, Some noncompact convexity moduli for the property (β) of Rolewicz, Comm. Appl. Nonlinear Anal. 1 (1994), 87-98. Zbl0861.46006
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