# 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

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topAyerbe, 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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