Fixed Point Theorems for Fuzzy (γ, β)-Contractions in non-Archimedean Fuzzy Metric Spaces

被引:1
|
作者
Sezen, Muzeyyen Sangurlu [1 ]
机构
[1] Gazi Univ, Dept Math, Fac Sci, TR-06500 Ankara, Turkey
来源
关键词
(gamma; beta)-contraction; Fixed point; Non-Archimedean fuzzy metric space; PSI-CONTRACTIVE MAPPINGS;
D O I
10.22130/scma.2021.137259.856
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
In this paper, we introduce new concepts of fuzzy (gamma, beta)-contraction and prove some fixed point results for fuzzy (gamma, beta)-contractions in complete non-Archimedean fuzzy metric spaces. Later, we define a fuzzy (gamma, beta)-weak contraction and establish some new fixed point results for fuzzy (gamma, beta)-weak contractions. Also, some examples are supplied in order to support the useability of our results.
引用
收藏
页码:31 / 44
页数:15
相关论文
共 50 条
  • [1] Non-Archimedean fuzzy metric spaces and best proximity point theorems
    Paknazar, Mohadeseh
    [J]. SAHAND COMMUNICATIONS IN MATHEMATICAL ANALYSIS, 2018, 9 (01): : 85 - 112
  • [2] Common fixed point theorems in non-Archimedean fuzzy metric-like spaces with applications
    Zhao, Haiqing
    Lu, Yanxia
    Sridarat, Phikul
    Suantai, Suthep
    Cho, Yeol Je
    [J]. JOURNAL OF NONLINEAR SCIENCES AND APPLICATIONS, 2017, 10 (07): : 3708 - 3718
  • [3] (JCLR) property and fixed point in non-Archimedean fuzzy metric spaces
    Beg, I.
    Ahmed, M. A.
    Nafadi, H. A.
    [J]. INTERNATIONAL JOURNAL OF NONLINEAR ANALYSIS AND APPLICATIONS, 2018, 9 (01): : 195 - 201
  • [4] Fixed point theorems for (ψ ○ φ)-contractions in a fuzzy metric spaces
    Sangurlu, Muzeyyen
    Turkoglu, Duran
    [J]. JOURNAL OF NONLINEAR SCIENCES AND APPLICATIONS, 2015, 8 (05): : 687 - 694
  • [5] Common fixed points for generalized ψ-contractions in weak non-Archimedean fuzzy metric spaces
    Suantai, Suthep
    Cho, Yeol Je
    Tiamme, Jukrapong
    [J]. APPLIED GENERAL TOPOLOGY, 2019, 20 (01): : 1 - 18
  • [6] Ordered Non-Archimedean Fuzzy Metric Spaces and Some Fixed Point Results
    Ishak Altun
    Dorel Miheţ
    [J]. Fixed Point Theory and Applications, 2010
  • [7] Ordered Non-Archimedean Fuzzy Metric Spaces and Some Fixed Point Results
    Altun, Ishak
    Mihet, Dorel
    [J]. FIXED POINT THEORY AND APPLICATIONS, 2010,
  • [8] Some new fixed point results in non-Archimedean fuzzy metric spaces
    Salimi, Peyman
    Vetro, Calogero
    Vetro, Pasquale
    [J]. NONLINEAR ANALYSIS-MODELLING AND CONTROL, 2013, 18 (03): : 344 - 358
  • [9] COMMON FIXED POINT THEOREMS FOR HYBRID PAIRS OF L-FUZZY AND CRISP MAPPINGS IN NON-ARCHIMEDEAN FUZZY METRIC SPACES
    Beg, Ismat
    Ahmed, M. A.
    Nafadi, H. A.
    [J]. JOURNAL OF NONLINEAR FUNCTIONAL ANALYSIS, 2016,
  • [10] Fixed points in weak non-Archimedean fuzzy metric spaces
    Vetro, Calogero
    [J]. FUZZY SETS AND SYSTEMS, 2011, 162 (01) : 84 - 90