Olela Otafudu, OlivierSebogodi, Katlego2022-05-252022-05-252022-04-011576-9402https://riunet.upv.es/handle/10251/182892[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 in the setting of modular pseudometric that is herein called w-Isbell-convexity. We show that on a modular set, w-Isbell-convexity is equivalent to hyperconvexity whenever the modular pseudometric is continuous from the right on the set of positive numbers.Reconocimiento - No comercial - Sin obra derivada (by-nc-nd)Modular pseudometricIsbell-convexityw-Isbell-convexityOn w-Isbell-convexityArtÃculo10.4995/agt.2022.15739Abierto1989-4147