Isbell convexity in fuzzy quasi-metric spaces

Document Type : Original Article

Authors

Hope Sabao ¹

Olivier Olela Otafudu ²

¹ University of the Witwatersrand

² North-West University, Potchefstroom Campus Potchefstroom 2520 SOUTH AFRICA

10.22034/kjm.2021.227905.1801

Abstract

We introduce the concept of Isbell convexity in fuzzy quasi-metric spaces, which we call fuzzy Isbell convexity. This idea extends Isbell convexity (or q-hyperconvexity) in quasi-metric spaces to fuzzy quasi metric spaces. We show that fuzzy Isbell convexity is preserved by certain $F$-bounded subsets and the space of non-negative function pairs of the fuzzy quasi-metric space.

Keywords

Quasi-metric

fuzzy quasi-metric

fuzzy admissible subset

F-bounded subset

Isbell convexity

---