A counterexample in semimetric spaces.
A Galois connection between distance functions and inequality relations
Following the ideas of R. DeMarr, we establish a Galois connection between distance functions on a set and inequality relations on . Moreover, we also investigate a relationship between the functions of and .
A note on some fixed point results.
A note on -universal spaces
Cartesian closed hull for (quasi-)metric spaces (revisited)
An existing description of the cartesian closed topological hull of , the category of extended pseudo-metric spaces and nonexpansive maps, is simplified, and as a result, this hull is shown to be a special instance of a “family” of cartesian closed topological subconstructs of , the category of extended pseudo-quasi-semi-metric spaces (also known as quasi-distance spaces) and nonexpansive maps. Furthermore, another special instance of this family yields the cartesian closed topological hull of...
Collectionwise normality and extensions of continuous functions
Common fixed point theorems for hybrid mappings satisfying generalized contractive conditions.
Common fixed points of generalized contractive hybrid pairs in symmetric spaces.
Covering properties for s with nested bases.
Eine Verallgemeinerung der Fixpunktsätze von Ehrmann und Schröder für quasimetrische limes-Räume.
Fixed point theorems for semi-groups of self maps of semi-metric spaces.
-metrizable spaces and the images of semi-metric spaces
In this paper, we prove that a space is a -metrizable space if and only if is a weak-open, and -image of a semi-metric space, if and only if is a strong sequence-covering, quotient, and -image of a semi-metric space, where “semi-metric” can not be replaced by “metric”.
Geodesics in Asymmetic Metric Spaces
In a recent paper [17] we studied asymmetric metric spaces; in this context we studied the length of paths, introduced the class of run-continuous paths; and noted that there are different definitions of “length spaces” (also known as “path-metric spaces” or “intrinsic spaces”). In this paper we continue the analysis of asymmetric metric spaces.We propose possible definitions of completeness and (local) compactness.We define the geodesics using as admissible paths the class of run-continuous paths.We...
Möbius-invariant metrics and generalized angles in Ptolemaic spaces.
Non-regularity of some topologies on stronger than the standard one.
Notes on Fréchet spaces.
On bicompacta which are unions of two subspaces of a certain type
On coincidence and fixed-point theorems in symmetric spaces.
On completeness of quasi-pseudometric spaces.
Real-valued functions on certain semi-metric spaces