9 citations · 12 across the 5 of their papers we have counts for
4 papers · 1 filter
Geometry of the proper asymmetric norm
A. B. Németh
There is given the geometric characterization of an asymmetric norm on the real vector space , for which exists an such that , for each . The…
Mutually polar retractions on convex cones
A. B. Németh
Two retractions Q and R on closed convex cones M and respectively N of a Banach space are called mutually polar if Q+R=I and QR=RQ=0. This note investigates the existence of a pair…
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…
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…