11 citations · 37 across the 17 of their papers we have counts for
18 papers
Polarizable quasiconvex function generated metric projection
A. B. Németh, S. Z. Németh
We study when generalized metric projections generated by strongly quasiconvex functions are polarizable. The point of departure is Moreau's decomposition theorem, where the Euclid…
Characterization of the -Dedekind complete Riesz space by the subadditivity of its positive part mapping
A. B. Németh
Two retractions and on convex cones and respectively of a real vector space are called mutually polar if and In this note it is shown…
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…
Linear complementarity on simplicial cones and the congruence orbit of matrices
A. B. Németh, S. Z. Németh
The congruence orbit of a matrix has a natural connection with the linear complementarity problem on simplicial cones formulated for the matrix. In terms of the two approaches -- t…