Some results in intuitionistic fuzzy metric spaces

被引:0
|
作者
Park, Jin Han [1 ]
Park, Yong Beom [1 ]
Saadati, Reza [2 ]
机构
[1] Pukyong Natl Univ, Div Math Sci, Pusan 608737, South Korea
[2] Amol Islamic Azad Univ, Dept Math, Amol 4617654553, Iran
关键词
intuitionistic fuzzy metric space; Cauchy sequence; completeness; uniform continuity; equicontinuity;
D O I
暂无
中图分类号
TP301 [理论、方法];
学科分类号
081202 ;
摘要
In this paper we prove some results of metric spaces including Uniform continuity theorem and Ascoli-Arzela theorem for intuitionistic fuzzy metric spaces. We also prove that every intuitionistic fuzzy metric space has a countably locally finite basis and use this result to conclude that every intuitionistic fuzzy metric space is metrizable.
引用
收藏
页码:441 / 451
页数:11
相关论文
共 50 条
  • [31] Semigroup Actions on Intuitionistic Fuzzy Metric Spaces
    Lan, Yaoyao
    Li, Qingguo
    ADVANCES IN FUZZY SYSTEMS, 2009, 2009
  • [32] (φ, ψ)-weak contractions in intuitionistic fuzzy metric spaces
    Beg, Ismat
    Vetro, Calogero
    Gopal, Dhananjay
    Imdad, Mohammad
    JOURNAL OF INTELLIGENT & FUZZY SYSTEMS, 2014, 26 (05) : 2497 - 2504
  • [33] Some results in L-fuzzy metric spaces
    Efe, Hakan
    CARPATHIAN JOURNAL OF MATHEMATICS, 2008, 24 (02) : 37 - 44
  • [34] Intuitionistic Fuzzy Metric-like Spaces and Fixed-Point Results
    Onbasioglu, Suara
    Pazar Varol, Banu
    MATHEMATICS, 2023, 11 (08)
  • [35] A New Approach to Fixed Point Results in Triangular Intuitionistic Fuzzy Metric Spaces
    Hussain, N.
    Khaleghizadeh, S.
    Salimi, P.
    Abdou, Afrah A. N.
    ABSTRACT AND APPLIED ANALYSIS, 2014,
  • [36] Fixed Point Results in Modified Intuitionistic Fuzzy Soft Metric Spaces with Application
    Gupta, Vishal
    Gondhi, Aanchal
    Shukla, Rahul
    MATHEMATICS, 2024, 12 (08)
  • [37] Introduction to Intuitionistic Fuzzy b-Metric Spaces and Fixed Point Results
    Azam, Akbar
    Kanwal, Shazia
    THAI JOURNAL OF MATHEMATICS, 2022, 20 (01): : 141 - 163
  • [38] SOME COUPLED FIXED POINT RESULTS ON MODIFIED INTUITIONISTIC FUZZY METRIC SPACES AND APPLICATION TO INTEGRAL TYPE CONTRACTION
    Gupta, V.
    Saini, R. K.
    Kanwar, A.
    IRANIAN JOURNAL OF FUZZY SYSTEMS, 2017, 14 (05): : 123 - 137
  • [39] Fixed Point Theorems for a Generalized Intuitionistic Fuzzy Contraction in Intuitionistic Fuzzy Metric Spaces
    Sintunavarat, Wutiphol
    Kumam, Poom
    THAI JOURNAL OF MATHEMATICS, 2012, 10 (01): : 123 - 135
  • [40] On some results in intuitionistic fuzzy ideal convergence double sequence spaces
    Vakeel A. Khan
    Mobeen Ahmad
    Hira Fatima
    Mohd Faisal Khan
    Advances in Difference Equations, 2019