Fixed Point Results for Generalized Fuzzy Contractive Mappings in Fuzzy Metric Spaces with Application in Integral Equations

被引:8
|
作者
Mohammadi, Babak [1 ]
Hussain, Azhar [2 ]
Parvaneh, Vahid [3 ]
Saleem, Naeem [4 ]
Shahkoohi, Rogheieh Jalal [5 ]
机构
[1] Islamic Azad Univ, Dept Math, Marand Branch, Marand, Iran
[2] Univ Sargodha, Dept Math, Sargodha 40100, Pakistan
[3] Islamic Azad Univ, Gilan E Gharb Branch, Dept Math, Gilan E Gharb, Iran
[4] Univ Management & Technol, Dept Math, Lahore, Pakistan
[5] Islamic Azad Univ, Aliabad Katoul Branch, Dept Math, Aliabad Katoul, Iran
关键词
THEOREMS;
D O I
10.1155/2021/9931066
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
In this paper, we introduce generalized alpha-eta-fuzzy contractive mappings and generalized beta-zeta-fuzzy contractive mappings and prove existence of fixed point for such mappings. Our results generalize and improve the recent work of Gopal and Vetro (Iranian journal of fuzzy systems, 11 (2014), 95-107). Some equivalent conditions of our results are presented. Also, an example is given to support our new results.
引用
收藏
页数:11
相关论文
共 50 条
  • [21] COMMON FIXED POINT RESULTS IN GENERALIZED FUZZY METRIC SPACES AND OCCASIONALLY WEAKLY COMPATIBLE MAPPINGS
    Selvi, R. Pandi
    Banu, M. Barveen
    Jeyaraman, M.
    ADVANCES AND APPLICATIONS IN MATHEMATICAL SCIENCES, 2019, 18 (10): : 1227 - 1235
  • [22] METRIC FIXED POINT RESULTS FOR GENERALIZED CONTRACTIVE MAPPINGS AND APPLICATIONS
    Latif, Abdul
    Bin Dehaish, Buthinah A.
    Al Rwaily, Asma
    JOURNAL OF NONLINEAR AND CONVEX ANALYSIS, 2018, 19 (12) : 2177 - 2188
  • [23] Cyclic generalized ψ-weakly contractive mappings and fixed point results with applications to integral equations
    Nashine, Hemant Kumar
    NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2012, 75 (16) : 6160 - 6169
  • [24] Common fixed point for fuzzy mappings satisfying an implicit φ-contractive conditions in complete metric spaces
    Song, Ming-Liang
    JOURNAL OF NONLINEAR SCIENCES AND APPLICATIONS, 2017, 10 (06): : 3344 - 3356
  • [25] On fixed point results for α*-ψ- dominated fuzzy contractive mappings with graph
    Rasham, Tahair
    Shahzad, Aqeel
    Marino, Giuseppe
    Shoaib, Abdullah
    JOURNAL OF INTELLIGENT & FUZZY SYSTEMS, 2020, 38 (03) : 3093 - 3103
  • [26] FIXED FUZZY POINTS OF FUZZY MAPPINGS IN HAUSDORFF FUZZY METRIC SPACES WITH APPLICATION
    Abbas, M.
    Ali, B.
    Vetro, C.
    IRANIAN JOURNAL OF FUZZY SYSTEMS, 2015, 12 (03): : 31 - 45
  • [27] Some fixed point results of generalized (φ, ψ)-contractive mappings in ordered b-metric spaces
    Mitiku, Belay
    Karusala, Kalyani
    Namana, Seshagiri Rao
    BMC RESEARCH NOTES, 2020, 13 (01)
  • [28] Coupled fixed point analysis in fuzzy cone metric spaces with an application to nonlinear integral equations
    Chen, Gui-Xiu
    Jabeen, Shamoona
    Rehman, Saif Ur
    Khalil, Ahmed Mostafa
    Abbas, Fatima
    Kanwal, Arzoo
    Ullah, Hayat
    ADVANCES IN DIFFERENCE EQUATIONS, 2020, 2020 (01)
  • [29] SUZUKI TYPE FUZZY Z-CONTRACTIVE MAPPINGS AND FIXED POINTS IN FUZZY METRIC SPACES
    Gopal, Dhananjay
    Martinez-Moreno, Juan
    KYBERNETIKA, 2021, 57 (06) : 908 - 921
  • [30] Fixed points for modified fuzzy ψ-contractive set-valued mappings in fuzzy metric spaces
    Hong, Shihuang
    FIXED POINT THEORY AND APPLICATIONS, 2014,