Isbell convexity in fuzzy quasi-metric spaces

Document Type : Original Article


1 University of the Witwatersrand

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



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.