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On weak G-completeness for fuzzy metric spaces

Sugata Adhya,A. Ray

2020 · DOI: 10.1007/s00500-021-06632-1
Soft Computing - A Fusion of Foundations, Methodologies and Applications · 5 Citations

TLDR

F fuzzy metric spaces that have weak G-complete fuzzy metric completions are characterized and analogous results for classical metric spaces are established.

Abstract

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