5 papers
Characterizations of subdual cones via isotonicity of the norm of the metric projection and via antitonicity of angular distance
S. Z. Németh
Let be a real Hilbert space, let be a closed convex cone, let be its dual closed convex cone, and let denote the metric projection onto . We study…
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…
About the kernel of the strongly quasiconvex function generated projection
A. B. Németh, S. Z. Németh
This paper explores a natural generalization of Euclidean projection through the lens of strongly quasiconvex functions, as developed in prior works. By establishing a connection b…
On projection mappings and the gradient projection method on hyperbolic space forms
Ronny Bergmann, Orizon P. Ferreira, Sandor Németh +1
This paper presents several new properties of the intrinsic -projection into -hyperbolically convex sets of -hyperbolic space forms, along with closed-form formulas for…
Why Study the Spherical Convexity of Non-Homogeneous Quadratic Functions, and What Makes It Surprising?
R. Bolton, S. Z. Németh
This paper presents necessary, sufficient, and equivalent conditions for the spherical convexity of non-homogeneous quadratic functions. In addition to motivating this study and id…