TY - JOUR ID - 46667 TI - Some Properties of Lebesgue Fuzzy Metric Spaces JO - Sahand Communications in Mathematical Analysis JA - SCMA LA - en SN - 2322-5807 AU - Adhya, Sugata AU - Deb Ray, Atasi AD - Department of Mathematics, The Bhawanipur Education Society College. 5, Lala Lajpat Rai Sarani, Kolkata 700020, West Bengal, India. AD - Department of Pure Mathematics, University of Calcutta. 35, Ballygunge Circular Road, Kolkata 700019, West Bengal, India. Y1 - 2021 PY - 2021 VL - 18 IS - 1 SP - 1 EP - 14 KW - Fuzzy metric space KW - Lebesgue property KW - Weak $G$-complete DO - 10.22130/scma.2020.120854.743 N2 - In this paper, we establish a sequential characterisation of Lebesgue fuzzy metric and explore the relationship between Lebesgue, weak $G$-complete and compact fuzzy metric spaces. We also discuss the Lebesgue property of several well-known fuzzy metric spaces. UR - https://scma.maragheh.ac.ir/article_46667.html L1 - https://scma.maragheh.ac.ir/article_46667_2020a777d2946e34ce7983d6aa41f4a0.pdf ER -