2025/12/18 by Sergio Macario, Macario, Sergio, Manuel Sanchis +1
Mathematics · #Advanced Topology and Set Theory #FOS: Mathematics #Fixed Point Theorems Analysis #Fuzzy Systems and Optimization #General Topology (math.GN)
paper · doi:10.48550/arxiv.2512.16410
openalex publication_date 2025/12/18 · openalex created_date 2025/12/21 · openalex updated_date 2026/07/28
The authors introduced in a previous paper the notion of fuzzy Gromov-Hausdorff distance between non-Archimedean compact fuzzy metric spaces, presenting a fuzzy version of the Gromov's completeness theorem. In this paper we present a fuzzy version of the Gromov's precompactness theorem which allows to deduce the classical theorem for compact metric spaces by means of the standard fuzzy metric associated to a metric space. This completes the previous work.