28 citations · 33 across the 4 of their papers we have counts for
4 papers
Linear Complementarity Problem on the Monotone Extended Second Order Cone
Yingchao Gao, Sándor Z. Németh, Guohan Zhang
In this paper, we study the linear complementarity problems on the monotone extended second order cones. We demonstrate that the linear complementarity problem on the monotone exte…
Conic optimization and complementarity problems
S. Z. Németh, Guohan Zhang
Although the Karush-Kuhn-Tucker conditions suggest a connection between a conic optimization problem and a complementarity problem, it is difficult to find an accessible explicit f…
Extended Lorentz cones and variational inequalities on cylinders
S. Z. Németh, G. Zhang
Solutions of a variational inequality are found by giving conditions for the monotone convergence with respect to a cone of the Picard iteration corresponding to its natural map. O…
Extended Lorentz cones and mixed complementarity problems
S. Z. Németh, G. Zhang
In this paper we extend the notion of a Lorentz cone. We call a closed convex set isotone projection set with respect to a pointed closed convex cone if the projection onto the set…