φ-Contraction in generalized probabilistic metric spaces

被引:4
|
作者
Alsulami, Saud M. [1 ]
Choudhury, Binayak S. [2 ]
Das, Pradyut [2 ]
机构
[1] King Abdulaziz Univ, Dept Math, Jeddah 21323, Saudi Arabia
[2] Indian Inst Engn Sci & Technol, Dept Math, Howrah 711103, W Bengal, India
关键词
generalized PM-space; Hadzic type t-norm; phi-function; Cauchy sequence; fixed point; FIXED-POINT THEOREMS;
D O I
10.1186/s13663-015-0367-5
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
We use the gauge function introduced by Fang to gain a fixed point result in probabilistic G-metric spaces. Our work extends some existing results. Moreover, our result is supported with an example.
引用
收藏
页数:9
相关论文
共 50 条
  • [31] FIXED POINTS FOR CONTRACTION MAPPINGS IN GENERALIZED CONE METRIC SPACES
    Al-Khaleel, Mohammad
    Al-Sharif, Sharifa
    Khandaqji, Mona
    [J]. JORDAN JOURNAL OF MATHEMATICS AND STATISTICS, 2012, 5 (04): : 291 - 307
  • [32] A CHARACTERIZATION OF COMPLETENESS OF GENERALIZED METRIC SPACES USING GENERALIZED BANACH CONTRACTION PRINCIPLE
    Ghosh, Piu
    Ray, A.
    [J]. DEMONSTRATIO MATHEMATICA, 2012, 45 (03) : 717 - 724
  • [33] Common fixed point results for probabilistic φ-contractions in generalized probabilistic metric spaces
    Tian, Jingfeng
    Hu, Ximei
    [J]. JOURNAL OF NONLINEAR SCIENCES AND APPLICATIONS, 2017, 10 (07): : 3939 - 3962
  • [34] FIXED AND PERIODIC POINTS OF LOCAL CONTRACTION MAPPINGS ON PROBABILISTIC METRIC SPACES
    CAIN, GL
    KASRIEL, RH
    [J]. NOTICES OF THE AMERICAN MATHEMATICAL SOCIETY, 1973, 20 (07): : A675 - A675
  • [35] FIXED AND PERIODIC POINTS OF LOCAL CONTRACTION MAPPINGS ON PROBABILISTIC METRIC SPACES
    CAIN, GL
    KASRIEL, RH
    [J]. MATHEMATICAL SYSTEMS THEORY, 1976, 9 (04): : 289 - 297
  • [36] Fixed Point Theorems for φ-Probabilistic Contraction in Hausdorff Fuzzy Metric Spaces
    CHEN He
    [J]. Wuhan University Journal of Natural Sciences, 2021, 26 (03) : 243 - 248
  • [37] phi-CONTRACTIVE MAPPINGS ON GENERALIZED PROBABILISTIC METRIC SPACES
    Ali, Rashid
    Batul, Samina
    Rafique, Muhammad
    Dur-E-Shehwar
    [J]. JOURNAL OF MATHEMATICAL ANALYSIS, 2018, 9 (03): : 1 - 8
  • [38] Monotone generalized contractions in partially ordered probabilistic metric spaces
    Ciric, Lj. B.
    Mihet, D.
    Saadati, R.
    [J]. TOPOLOGY AND ITS APPLICATIONS, 2009, 156 (17) : 2838 - 2844
  • [39] ψ-Contraction and (φ, φ)-contraction in Menger probabilistic metric space
    Ma, Pengcheng
    Guan, Jinyu
    Tang, Yanxia
    Xu, Yongchun
    Su, Yongfu
    [J]. SPRINGERPLUS, 2016, 5 : 1 - 12
  • [40] COMMON FIXED POINTS FOR GENERALIZED CONTRACTION MAPPINGS IN CONVEX METRIC SPACES
    R.A.Rashwan
    M.A.Ahmed
    [J]. 曲阜师范大学学报(自然科学版), 1998, (03) : 17 - 23