The unbounded fuzzy norm convergence in fuzzy Banach lattices

被引:0
|
作者
Zia Bashir
Mobashir Iqbal
机构
[1] Quaid-i-Azam University,Department of Mathematics
来源
Soft Computing | 2022年 / 26卷
关键词
Fuzzy Banach lattice; Fuzzy quasi-interior points; Unbounded fuzzy order convergence; Unbounded fuzzy norm convergence;
D O I
暂无
中图分类号
学科分类号
摘要
This paper aims to define and study unbounded fuzzy norm convergence in fuzzy Banach lattice, closely related to unbounded fuzzy order convergence. Some other theoretical concepts like fuzzy quasi-interior point and disjoint sequences are studied in relation to unbounded fuzzy norm convergence. Moreover, we defined a topology that is compatible with unbounded fuzzy norm convergence.
引用
收藏
页码:25 / 31
页数:6
相关论文
共 50 条
  • [1] The unbounded fuzzy norm convergence in fuzzy Banach lattices
    Bashir, Zia
    Iqbal, Mobashir
    SOFT COMPUTING, 2022, 26 (01) : 25 - 31
  • [2] Unbounded norm convergence in Banach lattices
    Y. Deng
    M. O’Brien
    V. G. Troitsky
    Positivity, 2017, 21 : 963 - 974
  • [3] Unbounded norm convergence in Banach lattices
    Deng, Y.
    O'Brien, M.
    Troitsky, V. G.
    POSITIVITY, 2017, 21 (03) : 963 - 974
  • [4] Unbounded norm topology in Banach lattices
    Kandic, M.
    Marabeh, M. A. A.
    Troitsky, V. G.
    JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2017, 451 (01) : 259 - 279
  • [5] Unbounded absolute weak convergence in Banach lattices
    Zabeti, Omid
    POSITIVITY, 2018, 22 (02) : 501 - 505
  • [6] Continuous functionals for unbounded convergence in Banach lattices
    Zhangjun Wang
    Zili Chen
    Jinxi Chen
    Archiv der Mathematik, 2021, 117 : 305 - 313
  • [7] Continuous Operators for Unbounded Convergence in Banach Lattices
    Wang, Zhangjun
    Chen, Zili
    MATHEMATICS, 2022, 10 (06)
  • [8] Continuous functionals for unbounded convergence in Banach lattices
    Wang, Zhangjun
    Chen, Zili
    Chen, Jinxi
    ARCHIV DER MATHEMATIK, 2021, 117 (03) : 305 - 313
  • [9] Unbounded absolute weak convergence in Banach lattices
    Omid Zabeti
    Positivity, 2018, 22 : 501 - 505
  • [10] Quotient Banach Lattices Under Unbounded Norm Topology
    Hasanzadeh, Leila
    Ranjbari, Asghar
    SAHAND COMMUNICATIONS IN MATHEMATICAL ANALYSIS, 2024, 21 (03): : 361 - 370