Ayerbe, J. M.; Dominguez Benavides, T.; Cutillas, S. Francisco Some noncompact convexity moduli for the property \((\beta)\) of Rolewicz. (English) Zbl 0861.46006 Commun. Appl. Nonlinear Anal. 1, No. 1, 87-98 (1994). 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. Cited in 5 Documents MSC: 46B20 Geometry and structure of normed linear spaces 47H09 Contraction-type mappings, nonexpansive mappings, \(A\)-proper mappings, etc. Keywords:\(\beta\)-minimal Banach space; noncompact convexity; property \((\beta)\) of Rolewicz; \(\ell^ p\)-spaces PDFBibTeX XMLCite \textit{J. M. Ayerbe} et al., Commun. Appl. Nonlinear Anal. 1, No. 1, 87--98 (1994; Zbl 0861.46006)