2 papers
math.MG2026
On the Gromov product and its generalization in partial metric spaces
Dariusz Bugajewski, Kacper Jarosiński
The first aim of this article is to extend the notion of the Gromov product to the class of partial metric spaces. A relation between -hyperbolicity of a partial metric space an…
math.GN2026
Hyperconvexity in partial metric spaces: challenges and outlooks
Dariusz Bugajewski, Piotr Kasprzak, Olivier Olela-Otafudu
In this article, we present several different ways to define hyperconvexity in partial metric spaces. In particular, we show that the analogue of the Aronszajn--Panitchpakdi notion…