11 citations · 16 across the 9 of their papers we have counts for
10 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…
A subdifferential characterization via Busemann functions and applications to DC optimization on Hadamard manifolds
O. P. Ferreira, D. S. Gonçalves, M. S. Louzeiro +2
This paper investigates the properties of Busemann functions on Hadamard manifolds and their use in optimization algorithms in Riemannian settings. We present a new Busemann-based…
The monotone extended second order cone and mixed complementarity problems
Y. Gao, S. Z. Németh, R. Sznajder
In this paper, we study a new generalization of the Lorentz cone, called the Monotone Extended Second Order Cone (MESOC). We investigate basic properties of MESOC including computa…
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…
Isotone projection cones and Q-matrices
A. B. Németh, S. Z. Németh
Proper cones with the property that the projection onto them is isotone with respect to the order they induce are called isotone projection cones. Isotone projection cones and thei…
A duality between the metric projection onto a convex cone and the metric projection onto its dual in Hilbert spaces
S. Z. Németh
If and are mutually dual closed convex cones in a Hilbert space with the metric projections onto them denoted by and respectively, then the following two assert…
Lattice-like operations and isotone projection sets
A. B. Németh, S. Z. Németh
By using some lattice-like operations which constitute extensions of ones introduced by M. S. Gowda, R. Sznajder and J. Tao for self-dual cones, a new perspective is gained on the…
Isotonicity of the projection onto the monotone cone
A. B. Németh, S. Z. Németh
A wedge (i.e., a closed nonempty set in the Euclidean space stable under addition and multiplication with non-negative scalars) induces by a standard way a semi-order (a reflexive…
How to project onto the monotone nonnegative cone using Pool Adjacent Violators type algorithms
A. B. Németh, S. Z. Németh
The metric projection onto an order nonnegative cone from the metric projection onto the corresponding order cone is derived. Particularly, we can use Pool Adjacent Violators-type…