Solutions of a variational inequality problem defined by a closed and convex set and a
mapping are found by imposing conditions for the monotone convergence with respect to a …

The extended second order cones were introduced by Németh and Zhang (J Optim Theory
Appl 168 (3): 756–768, 2016) for solving mixed complementarity problems and variational …

In this paper, we first discuss the geometric properties of the Lorentz cone and the extended
Lorentz cone. The self-duality and orthogonality of the Lorentz cone are obtained in Hilbert …

This work is motivated by a conjecture of Che et al.(J Optim Theory Appl 168: 475–487,
2016) which says that if the feasible region of a tensor complementarity problem is …

A systematic way for generating penalty and barrier methods is proposed in order to solve
variational inequalities with a maximal monotone map and over a feasible set which is the …

In this paper, we study a new generalization of the Lorentz cone L^ n_+ L+ n, called the
monotone extended second-order cone (MESOC). We investigate basic properties of …

arXiv:1607.05161v1 [math.OC] 18 Jul 2016 Page 1 arXiv:1607.05161v1 [math.OC] 18 Jul
2016 Conic optimization and complementarity problems SZ Németh University of …

In this paper we extend the notion of a Lorentz cone in a Euclidean space as follows: we
divide the index set corresponding to the coordinates of points in two disjoint classes. By …

The goal of this paper is to investigate a new model, called generalized polynomial
complementarity problems over a polyhedral cone and denoted by GPCPs, which is a …

We show that penalized functions of the Fischer–Burmeister and the natural residual
functions defined on symmetric cones are complementarity functions. Boundedness of the …