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Geometrical and Topological Properties of a Parameterized Binary Relation in Vector Optimization.
- Source :
- Journal of Optimization Theory & Applications; Dec2014, Vol. 163 Issue 3, p815-840, 26p
- Publication Year :
- 2014
-
Abstract
- In real linear spaces, partial orderings are usually generated by ordering cones. In many situations, however, such an ordering cone is too small with respect to the whole space. Therefore, in this paper, we extend the concept of ordering cones to a more general concept. For this purpose, we define a parameterized binary relation, based on a convex cone and a binary function. We investigate some geometrical and topological properties of this relation in detail. [ABSTRACT FROM AUTHOR]
- Subjects :
- GEOMETRY
MATHEMATICS
MATHEMATICAL optimization
MATHEMATICAL analysis
MAXIMA & minima
Subjects
Details
- Language :
- English
- ISSN :
- 00223239
- Volume :
- 163
- Issue :
- 3
- Database :
- Complementary Index
- Journal :
- Journal of Optimization Theory & Applications
- Publication Type :
- Academic Journal
- Accession number :
- 99046023
- Full Text :
- https://doi.org/10.1007/s10957-014-0529-3