9 citations · 11 across the 3 of their papers we have counts for
4 papers
Subadditive retractions on cones and asymmetric vector norms
A. B. Németh, S. Z. Németh
Asymmetric vector norms are generalizations of asymmetric norms, where the subadditivity inequality is understood in ordered vector space sense. This relation imposes strong condit…
Order isotonicity of the metric projection onto a closed convex cone
A. B. Németh, S. Z. Németh
The basic tool for solving problems in metric geometry and isotonic regression is the metric projection onto closed convex cones. Isotonicity of these projections with respect to a…
Isotonic regression and isotonic projection
A. B. Németh, S. Z. Németh
The note describes the cones in the Euclidean space admitting isotonic metric projection with respect to the coordinate-wise ordering. As a consequence it is showed that the metric…
Self-dual cones, generalized lattice operations and isotone projections
A. B. Németh, S. Z. Németh
By using the metric projection onto a closed self-dual cone of the Euclidean space, M. S. Gowda, R. Sznajder and J. Tao have defined generalized lattice operations, which in the pa…