A note on the completions of fuzzy metric spaces and fuzzy normed spaces

被引:16
|
作者
Fang, JX [1 ]
机构
[1] Nanjing Normal Univ, Dept Math, Nanjing 210097, Jiangsu, Peoples R China
关键词
fuzzy metric spaces; fuzzy normed spaces; completion;
D O I
10.1016/S0165-0114(02)00054-4
中图分类号
TP301 [理论、方法];
学科分类号
081202 ;
摘要
In this paper, we point out that the completion theorem of fuzzy metric spaces given by Lee et al. (Fuzzy Sets and Systems 106 (1999) 469-473) is incorrect and prove a new completion theorem. (C) 2002 Elsevier Science B.V. All rights reserved.
引用
收藏
页码:399 / 407
页数:9
相关论文
共 50 条
  • [31] ON FARTHEST POINTS IN FUZZY NORMED SPACES
    Baseri, M. Ahmadi
    Mazaheri, H.
    [J]. JORDAN JOURNAL OF MATHEMATICS AND STATISTICS, 2019, 12 (02): : 103 - 114
  • [32] On fuzzy ε-contractive mappings in fuzzy metric spaces
    Mihet, Dorel
    [J]. FIXED POINT THEORY AND APPLICATIONS, 2007, 2007 (1)
  • [33] On fuzzy contractive mappings in fuzzy metric spaces
    Mihet, Dorel
    [J]. FUZZY SETS AND SYSTEMS, 2007, 158 (08) : 915 - 921
  • [34] FUZZY PARAMETERIZED FUZZY SOFT METRIC SPACES
    Riaz, Muhammad
    Hashmi, Masooma Raza
    Farooq, Adeel
    [J]. JOURNAL OF MATHEMATICAL ANALYSIS, 2018, 9 (02): : 25 - 36
  • [35] On completable fuzzy metric spaces
    Gregori, Valentin
    Minana, Juan-Jose
    Morillas, Samuel
    [J]. FUZZY SETS AND SYSTEMS, 2015, 267 : 133 - 139
  • [36] On the Intuitionistic Fuzzy Metric Spaces
    Jahedi, S.
    Azhdari, E.
    [J]. JOURNAL OF MATHEMATICAL EXTENSION, 2007, 2 (1-2) : 81 - 92
  • [37] UNIFORMITIES IN FUZZY METRIC SPACES
    Yue, Y.
    Fang, J.
    [J]. IRANIAN JOURNAL OF FUZZY SYSTEMS, 2015, 12 (01): : 43 - 57
  • [38] On completeness of fuzzy metric spaces
    Li, Changqing
    Zhang, Yanlan
    [J]. ITALIAN JOURNAL OF PURE AND APPLIED MATHEMATICS, 2024, (51): : 339 - 345
  • [39] Fuzzy cone metric spaces
    Oner, Tarkan
    Kandemir, Mustafa Burc
    Tanay, Bekir
    [J]. JOURNAL OF NONLINEAR SCIENCES AND APPLICATIONS, 2015, 8 (05): : 610 - 616
  • [40] On completion of fuzzy metric spaces
    Gregori, V
    Romaguera, S
    [J]. FUZZY SETS AND SYSTEMS, 2002, 130 (03) : 399 - 404