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Geometric properties of a parameterized order relation in vector optimization.
- Source :
- Optimization; Sep2015, Vol. 64 Issue 9, p1869-1885, 17p
- Publication Year :
- 2015
-
Abstract
- In this paper, we discuss some geometrical and topological properties of a parameterized binary order relation. This relation is based on a special set called. We answer the question under which conditions the natural ordering cone ofis a subset of. Moreover, we examine in which cases the setcoincides with a certain half space. Furthermore, we determine the dual set ofand the contingent cone to. [ABSTRACT FROM AUTHOR]
- Subjects :
- PARAMETERIZATION
MATHEMATICAL optimization
SET theory
TOPOLOGICAL spaces
CONES
Subjects
Details
- Language :
- English
- ISSN :
- 02331934
- Volume :
- 64
- Issue :
- 9
- Database :
- Complementary Index
- Journal :
- Optimization
- Publication Type :
- Academic Journal
- Accession number :
- 103548029
- Full Text :
- https://doi.org/10.1080/02331934.2014.903400