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Some noncompact convexity moduli for the property \((\beta)\) of Rolewicz. (English) Zbl 0861.46006

Summary: We define three kinds of noncompact convexity moduli for the property \((\beta)\) of Rolewicz and study some properties and relations among them. Moreover, we calculate these moduli for \(\ell^p\)-spaces.

MSC:

46B20 Geometry and structure of normed linear spaces
47H09 Contraction-type mappings, nonexpansive mappings, \(A\)-proper mappings, etc.
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