ON Ψ-CONTRACTIONS AND COMMON FIXED POINT RESULTS IN PROBABILISTIC METRIC SPACES

被引：1
|
作者：
Tian, Jingfeng [1 ]
Hu, Ximei [2 ]
O'Regan, Donal [3 ]
机构：
[1] North China Elect Power Univ, Dept Math & Phys, Baoding 071003, Hebei, Peoples R China
[2] China Mobile Grp Hebei Co Ltd, Baoding 071051, Hebei, Peoples R China
[3] Natl Univ Ireland, Sch Math Stat & Appl Math, Galway, Ireland
来源：
FIXED POINT THEORY | 2020年 / 21卷 / 01期
关键词：
Coupled fixed point; fixed point; metric space; probabilistic phi-ocontractions; gauge function; PHI-CONTRACTIONS; NONLINEAR CONTRACTIONS; TRIPLED COINCIDENCE; THEOREMS; MAPPINGS;
D O I：
10.24193/fpt-ro.2020.1.23
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, by weakening the conditions on the gauge function Psi, some new fixed point and common fixed point (common coupled fixed point, common tripled fixed point) theorems for nonlinear mappings with a gauge function Psi in Menger probabilistic metric spaces are established. An example is given to illustrate our theory.
引用
收藏
页码：319 / 337
页数：19
相关论文
共 50 条
  • [1] 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
  • [2] Fixed point results for probabilistic φ-contractions in generalized probabilistic metric spaces
    Tian, Jing-Feng
    Hu, Xi-Mei
    Zhang, Guofang
    [J]. JOURNAL OF NONLINEAR SCIENCES AND APPLICATIONS, 2015, 8 (06): : 1150 - 1165
  • [3] COUPLED COMMON FIXED POINT THEOREMS FOR φ-CONTRACTIONS IN PROBABILISTIC METRIC SPACES AND APPLICATIONS
    Wang, S. H.
    Abdou, A. A. N.
    Cho, Y. J.
    [J]. IRANIAN JOURNAL OF FUZZY SYSTEMS, 2015, 12 (06): : 95 - 108
  • [4] Common coupled fixed point results for probabilistic φ-contractions in Menger spaces
    Xiao, Jian-Zhong
    Zhu, Xing-Hua
    Cao, Yin-Fang
    [J]. NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2011, 74 (13) : 4589 - 4600
  • [5] COMMON FIXED POINT RESULTS FOR psi - phi CONTRACTIONS IN RECTANGULAR METRIC SPACES
    George, Reny
    Rajagopalan, R.
    [J]. BULLETIN OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2013, 5 (01): : 44 - 52
  • [6] COMMON COUPLED FIXED POINT RESULTS FOR HYBRID NONLINEAR CONTRACTIONS IN METRIC SPACES
    Xiao, Jian-Zhong
    Zhu, Xing-Hua
    Shen, Zhi-Mo
    [J]. FIXED POINT THEORY, 2013, 14 (01): : 235 - 249
  • [7] On φ-contractions and fixed point results in fuzzy metric spaces
    Saheli, Morteza
    Mohsenialhosseini, Seyed Ali Mohammad
    Goraghani, Hadi Saeidi
    [J]. APPLIED GENERAL TOPOLOGY, 2023, 24 (02): : 469 - 483
  • [8] Common fixed point theorems in probabilistic metric spaces
    Kohli, J. K.
    Vashistha, S.
    [J]. ACTA MATHEMATICA HUNGARICA, 2007, 115 (1-2) : 37 - 47
  • [9] Common fixed point theorems in probabilistic metric spaces
    J. K. Kohli
    S. Vashistha
    [J]. Acta Mathematica Hungarica, 2007, 115 : 37 - 47
  • [10] Common Fixed Point Results for Rational (,)φ-m Contractions in Complete Quasi Metric Spaces
    Qawasmeh, Tariq
    Shatanawi, Wasfi
    Bataihah, Anwar
    Tallafha, Abdalla
    [J]. MATHEMATICS, 2019, 7 (05)
12345