An asymmetric norm is a positive definite sublinear functional p on a real vector space X.
The topology generated by the asymmetric norm p is translation invariant so that the addition …

It is well known that every asymmetric normed space is a T 0 paratopological group. Since
all Ti axioms (i= 0, 1, 2, 3) are pairwise non-equivalent in the class of paratopological …

One of the oldest and richest problems from continuous location science is the famous
Fermat–Torricelli problem, asking for the unique point in Euclidean space that has minimal …

The aim of this paper is to present a survey of some recent results obtained in the study of
spaces with asymmetric norm. The presentation follows the ideas from the theory of normed …

We introduce successive radii in generalized Minkowski spaces (that is, with respect to
gauges) and study some first properties. This is done via formulating some kind of minimal …

We study the continuity of linear relations defined on asymmetric normed spaces with values
in normed spaces. We give some geometric charactirization of these mappings. As an …

The aim of this book is to present some recent results obtained in the study of spaces with
asymmetric norm. The presentation follows the ideas from the theory of normed spaces …

Диссертация состоит из введения, четырех глав и списка литературы из 268
наименований. В каждой главе принята сквозная нумерация результатов, определений …

Motivated by the importance of the notion of normed isometry in Functional Analysis and the
growing interest in the study of asymmetric normed (semi) linear spaces, we review the …

Le but de cet projet est de présenter une étude de quelques résultats récents obtenus dans
l'étude des espaces quasi-métriques (ou à norme asymétrique). La présentation suit les …