In this paper a complete description of the linear maps $\phi: W_ {n}\rightarrow W_ {n} $ that
preserve the Lorentz spectrum is given when $ n= 2$ and $ W_ {n} $ is the space $ M_ {n} …

Let H be an infinite-dimensional separable complex Hilbert space and B (H) the algebra of
all bounded linear operators on H. In this paper, we characterized the linear maps ϕ: B (H)→ …

For a given 3× 3 real matrix A, the eigenvalue complementarity problem relative to the
Lorentz cone consists of finding a real number λ and a nonzero vector x∈ ℝ 3 such that x T …

The aim of the article is to study representations of Bishop-Phelps cones in finite-
dimensional spaces under various norms. First, the definitions of cones in finite-dimensional …

In this paper, a new cone is introduced and the convexity of strongly efficient solution sets to
vector optimization problems via this cone is also discussed. Firstly, a mixed-ordered cone …