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Some notes on the paper “Cone metric spaces and fixed point theorems of contractive mappings”
- Source :
-
Journal of Mathematical Analysis & Applications . Sep2008, Vol. 345 Issue 2, p719-724. 6p. - Publication Year :
- 2008
-
Abstract
- Abstract: Huang and Zhang reviewed cone metric spaces in 2007 [Huang Long-Guang, Zhang Xian, Cone metric spaces and fixed point theorems of contractive mappings, J. Math. Anal. Appl. 332 (2007) 1468–1476]. We shall prove that there are no normal cones with normal constant and for each there are cones with normal constant . Also, by providing non-normal cones and omitting the assumption of normality in some results of [Huang Long-Guang, Zhang Xian, Cone metric spaces and fixed point theorems of contractive mappings, J. Math. Anal. Appl. 332 (2007) 1468–1476], we obtain generalizations of the results. [Copyright &y& Elsevier]
- Subjects :
- *METRIC spaces
*INTEGRAL theorems
*MATHEMATICAL mappings
*SET theory
Subjects
Details
- Language :
- English
- ISSN :
- 0022247X
- Volume :
- 345
- Issue :
- 2
- Database :
- Academic Search Index
- Journal :
- Journal of Mathematical Analysis & Applications
- Publication Type :
- Academic Journal
- Accession number :
- 32648876
- Full Text :
- https://doi.org/10.1016/j.jmaa.2008.04.049