Hyperconvexity in partial metric spaces: challenges and outlooks

Published 5 Jan 2026 in math.GN and math.FA | (2601.02279v1)

Abstract: In this article, we present several different ways to define hyperconvexity in partial metric spaces. In particular, we show that the analogue of the Aronszajn--Panitchpakdi notion of hyperconvexity fails to exhibit certain key properties present in the classical metric setting.

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