Hyperconvexity in partial metric spaces: challenges and outlooks
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.
Fields of Study & Subjects
Optimization and Variational Analysis
Fixed Point Theorems Analysis
Advanced Banach Space Theory
Publication details
- Journal / source
- arXiv (Cornell University)
- Publication date
- 5 January 2026
- Document type
- Preprint