[EN] The investigation of expansive homeomorphisms in metric spaces began with Utz in 1950. Thereafter, several authors have extensively studied this concept for different motivations. In this current article, we study ...
Sabao, Hope; Otafudu, Olivier Olela(Universitat Politècnica de València, 2021-04-01)
[EN] In this article, we introduce the concept of a soft quasi-pseudometric space. We show that every soft quasi-pseudometric induces a compatible quasi-pseudometric on the collection of all soft points of the absolute ...
Olela Otafudu, Olivier; Sebogodi, Katlego(Universitat Politècnica de València, 2022-04-01)
[EN] Chistyakov introduced and developed a concept of modular metric for an arbitrary set in order to generalise the classical notion of modular on a linear space. In this article, we introduce the theory of hyperconvexity ...