In asymmetric normed spaces, we study continuity of the metric projection operator and
structural connectedness-type properties of approximating sets. Connectedness of …

In this paper we prove a quasi-metric version of Ekeland Variational Principle and study its
connections with the completeness properties of the underlying quasi-metric space. The …

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 …

Let X, Y be asymmetric normed spaces and L c (X, Y) the convex cone of all linear
continuous operators from X to Y. It is known that in general, L c (X, Y) is not a vector space …

Inverse theorems for geometric approximation theory related to the structure of
approximating sets are obtained. Various types of connectedness of sets in asymmetric …

We describe the compact sets of any asymmetric normed linear space. After that, we focus
our attention in finite dimensional asymmetric normed linear spaces. In this case we …

Compactness in asymmetric normed spaces Page 1 Topology and its Applications 155 (2008)
527–539 www.elsevier.com/locate/topol Compactness in asymmetric normed spaces C …

Abstract If (X, p) and (Y, q) are two asymmetric normed spaces, the set LC (X, Y) of all
continuous linear mappings from (X, p) to (Y, q) is not necessarily a linear space, it is a cone …

The article studies the continuity of left metric functions and the upper semicontinuity of left
metric projections onto boundedly sequential left-compact sets in asymmetric spaces …

In this paper we introduce the weak criteria for the Complexity Analysis of algorithms related
to dual complexity spaces. We establish that these criteria can be represented by mean of …