The Ptolemy and Zbăganu constants of normed spaces

DOI10.1016/J.NA.2010.01.030zbMath1196.46015OpenAlexW1973041430MaRDI QIDQ965009

Simeon Reich, Eva María Mazcuñán-Navarro, Enrique Llorens-Fuster

Publication date: 21 April 2010

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.na.2010.01.030

zbMATH Keywords

uniform normal structureZbăganu constantPtolemy constant

Mathematics Subject Classification ID

Fixed-point theorems (47H10) Geometry and structure of normed linear spaces (46B20)

Related Items (14)

The generalized Gao's constant of absolute normalized norms in ℝ² ⋮ Minkowski Geometry—Some Concepts and Recent Developments ⋮ On the Ptolemy constant of some concrete Banach spaces ⋮ The Ptolemy constant of absolute normalized norms on \({\mathbb R^2}\) ⋮ Geodesic Ptolemy spaces and fixed points ⋮ On some geometric constants in Banach spaces ⋮ On James type constants and the normal structure in Banach spaces ⋮ Absolute normalized norms in \(\mathbb R^2\) and Heinz means constant ⋮ A geometrical constant and uniform normal structure in Banach spaces ⋮ Unnamed Item ⋮ On the upper bound of some geometric constants of absolute normalized norms on \(\mathbb R^2\) ⋮ James type constants and fixed points for multivalued nonexpansive mappings ⋮ Heinz means and triangles inscribed in a semicircle in Banach spaces ⋮ On some Banach space properties sufficient for normal structure

Cites Work

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• The von Neumann-Jordan constant for the Lebesgue spaces
• On James and Jordan–von Neumann constants and the normal structure coefficient of Banach spaces
• The Ptolemy Constant of a Normed Space: 10812
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• Nonlinear equations and weighted norm inequalities
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• A Remark on M. M. Day's Characterization of Inner-Product Spaces and a Conjecture of L. M. Blumenthal
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