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 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 …

A positive operator on a cone is a linear operator that maps the cone to a subcone of itself.
The extended second order cones were introduced by Németh and Zhang [17] as a working …

In this paper, we study the linear complementarity problems on extended second order
cones. We convert a linear complementarity problem on an extended second order cone …

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 …

In this paper, we provide a complete characterization of the range of the pseudomonotone
second-order cone linear complementarity problem. In particular, by answering the three …

In this paper, we are concerned with the set of the solutions and the geometric property of
the pseudomonotone second-order cone linear complementarity problems (SOCLCP) …

Let L _ θ L θ be the circular cone in R^ n R n which includes second-order cone as a special
case. For any function f from RR to RR, one can define a corresponding vector-valued …

Let K be a closed convex cone with dual K∗ in a finite-dimensional real inner-product space
V. The complementarity set of K is C (K)={(x, s)∈ K× K∗|⟨ x, s⟩= 0}. We say that a linear …

In this paper, we study the solvabilities of three optimization problems associated with
second-order cone, including the absolute value equations associated with second-order …