Prus, Stanisław On Bynum’s fixed point theorem. (English) Zbl 0724.46020 Atti Semin. Mat. Fis. Univ. Modena 38, No. 2, 535-545 (1990). It was proved by Dan Amir in Pac. J. Math. 118, 1-15 (1985; Zbl 0529.46011), that the product of W. L. Bynum’s Banach space characteristic WCS(X) [Pac. J. Math. 86, 427-436 (1980; Zbl 0442.46018)] and E. Maluta’s characteristic D(X) [Pac. J. Math. 111, 357-369 (1984; Zbl 0495.46012)] is 1 for some class of spaces X. The author shows that this is true in general. Explicit calculation of \(WCS(L_ p)\) and \(WCS(\ell_ p)\) is also given. Reviewer: J.Appell (Würzburg) Cited in 16 Documents MSC: 46B20 Geometry and structure of normed linear spaces 47H10 Fixed-point theorems Keywords:characteristic Citations:Zbl 0529.46011; Zbl 0442.46018; Zbl 0495.46012 PDFBibTeX XMLCite \textit{S. Prus}, Atti Semin. Mat. Fis. Univ. Modena 38, No. 2, 535--545 (1990; Zbl 0724.46020)