2 papers
math.FA2026
On the independence of axioms for measures of non-compactness
Jerzy Grzybowski, Piotr Kasprzak, Piotr MaÄkowiak
We investigate the independence of the axioms in the BanaÅ--Goebel approach to the theory of measures of non-compactness. We present a complete answer for four of the five axioms.…
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…