English

On Weak $G$-Completeness for Fuzzy Metric Spaces

General Topology 2022-01-28 v2

Abstract

In this paper, we provide equivalent characterizations of weak GG-complete fuzzy metric spaces. Since such spaces are complete, we also characterize fuzzy metric spaces that have weak GG-complete fuzzy metric completions. Moreover we establish analogous results for classical metric spaces.

Keywords

Cite

@article{arxiv.2007.04554,
  title  = {On Weak $G$-Completeness for Fuzzy Metric Spaces},
  author = {Sugata Adhya and A. Deb Ray},
  journal= {arXiv preprint arXiv:2007.04554},
  year   = {2022}
}

Comments

10 pages

R2 v1 2026-06-23T16:58:23.931Z