Abstract
The isotone projection cone, defined by G. Isac and A. B. Nemeth, is a closed pointed convex cone such that the order relation defined by the cone is preserved by the projection operator onto the cone. In this paper the coisotone cone will be defined as the polar of a generating isotone projection cone. Several equivalent inequality conditions for the coisotonicity of a cone in Euclidean spaces will be given.
Original language | English |
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Pages (from-to) | 469-475 |
Number of pages | 7 |
Journal | Positivity |
Volume | 11 |
Issue number | 3 |
DOIs | |
Publication status | Published - 1 Aug 2007 |
Keywords
- polar of a cone
- isotone projection cones
- coisotone cones
- latticial cones