Extremal function pairs in asymmetric normed linear spaces
Olela Otafudu, Olivier
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In  Kemajou et al. constructed the injective hull in the category of T₀-quasi-metric spaces with nonexpansive maps that they called q-hyperconvex hull. In this paper, we study properties of functions pairs of the q-hyperconvex hull of asymmetric normed linear spaces. We show, for instance, that any point in the q-hyperconvex hull of an asymmetric normed linear space is convex.