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A further characteristic of abstract convexity structures on topological spaces
- Source :
-
Journal of Mathematical Analysis & Applications . Nov2007, Vol. 335 Issue 1, p716-723. 8p. - Publication Year :
- 2007
-
Abstract
- Abstract: In this paper, we give a characteristic of abstract convexity structures on topological spaces with selection property. We show that if a convexity structure defined on a topological space has the weak selection property then satisfies -condition. Moreover, in a compact convex subset of a topological space with convexity structure, the weak selection property implies the fixed point property. [Copyright &y& Elsevier]
- Subjects :
- *TOPOLOGICAL spaces
*NUMERICAL analysis
*DIFFERENCE equations
*MATHEMATICS
Subjects
Details
- Language :
- English
- ISSN :
- 0022247X
- Volume :
- 335
- Issue :
- 1
- Database :
- Academic Search Index
- Journal :
- Journal of Mathematical Analysis & Applications
- Publication Type :
- Academic Journal
- Accession number :
- 25627321
- Full Text :
- https://doi.org/10.1016/j.jmaa.2007.01.101