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Ordered median functions and symmetries.
- Source :
-
Optimization . Jul2011, Vol. 60 Issue 7, p801-811. 11p. - Publication Year :
- 2011
-
Abstract
- In this article, we study symmetry properties of ordered median functions (S. Nickel and J. Puerto, Location Theory – A Unified Approach, Springer-Verlag, Berlin, Heidelberg, 2005). In particular, we prove that every ordered median function is a DCH-function (V.F. Demyanov and A.M. Rubinov, Quasidifferential Calculus, Optimization Software Inc., Publications Division, New York, 1986; D. Pallaschke and R. Urbański, Pairs of Compact Convex Sets – Fractional Arithmetic with Convex Sets, Mathematics and its Applications, Vol. 548, Kluwer Academic Publishers, Dordrecht, 2002), i.e. can be represented as a difference of two sublinear functions. Moreover, we give a necessary and sufficient condition for an ordered median function to be convex. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 02331934
- Volume :
- 60
- Issue :
- 7
- Database :
- Academic Search Index
- Journal :
- Optimization
- Publication Type :
- Academic Journal
- Accession number :
- 65869320
- Full Text :
- https://doi.org/10.1080/02331931003677772