Generalized von Neumann-Jordan constant and its relationship to the fixed point property
Authors:
- Yunan Cui,
- Wan Huang,
- Henryk Hudzik,
- Radosław Kaczmarek
Abstract
We introduce a new geometric constant (Formula Presented.) for a Banach space X, called a generalized von Neumann-Jordan constant. Next, it is shown that (Formula Presented.) for any Banach space X and that the right hand side inequality is sharp if and only if X is uniformly non-square. Moreover, a relationship between the James constant (Formula Presented.) is presented. Finally, the generalized von Neumann-Jordan constant of the Lebesgue space (Formula Presented.) is calculated and a relationship between (Formula Presented.) and the fixed point property is found.
- Record ID
- UAM2d275b1162d54afba149551a1d5dab09
- Author
- Journal series
- Fixed Point Theory and Applications, ISSN 1687-1820, e-ISSN 1687-1812
- Issue year
- 2015
- Pages
- 1-11
- Article number
- 40
- ASJC Classification
- ;
- DOI
- DOI:10.1186/s13663-015-0288-3 Opening in a new tab
- URL
- https://fixedpointtheoryandapplications.springeropen.com/articles/10.1186/s13663-015-0288-3 Opening in a new tab
- Language
- (en) English
- License
- File
-
- File: 1
-
Generalized von Neumann-Jordan constant and its relationship to the fixed point property, File s13663-015-0288-3.pdf / 1 MB
- s13663-015-0288-3.pdf
- publication date: 29-09-2021
- Generalized von Neumann-Jordan constant and its relationship to the fixed point property, File s13663-015-0288-3.pdf / 1 MB
-
- Score (nominal)
- 45
- Score source
- journalList
- Score
- Publication indicators
- = 11; = 6; : 2015 = 1.113; : 2014 (2 years) = 2.503 - 2014 (5 years) =2.126
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- Uniform Resource Identifier
- https://researchportal.amu.edu.pl/info/article/UAM2d275b1162d54afba149551a1d5dab09/
- URN
urn:amu-prod:UAM2d275b1162d54afba149551a1d5dab09
* presented citation count is obtained through Internet information analysis and it is close to the number calculated by the Publish or PerishOpening in a new tab system.