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 …

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 …

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 …

In this paper, as an extension of the isotone projection cone, we consider the isotonicity of
the metric projection operator with respect to the mutually dual orders induced by the cone …

In this paper, we discuss isotonicity characterizations of the metric projection operator,
including its necessary and sufficient conditions for isotonicity onto sublattices in Banach …

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 thesis, we present results related to complementarity problems. We study the linear
complementarity problems on extended second order cones. We convert a linear …

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 …

In this paper, as the extension of the isotonicity of the metric projection, the isotonicity
characterizations with respect to two arbitrary order relations induced by cones of the metric …