Some common fixed point theorems in generalized modular metric spaces with applications

被引:0
|
作者
Okeke, Godwin Amechi [1 ]
Francis, Daniel [1 ,2 ]
机构
[1] Fed Univ Technol Owerri, Sch Phys Sci, Dept Math, Funct Anal & Optimizat Res Grp Lab FANORG, PMB 1526, Owerri, Imo State, Nigeria
[2] Michael Okpara Univ Agr, Coll Phys & Appl Sci, Dept Math, PMB 7267, Umuahia, Abia State, Nigeria
关键词
Common unique fixed point; Modular G-metric spaces; Weakly commuting mappings; Nonlinear pachpatte integral equations; MAPPINGS;
D O I
10.1016/j.sciaf.2023.e02018
中图分类号
O [数理科学和化学]; P [天文学、地球科学]; Q [生物科学]; N [自然科学总论];
学科分类号
07 ; 0710 ; 09 ;
摘要
In this paper, we extend the notion of weakly commuting mappings results in modular metric spaces to setting of modular wG-metric spaces and prove the existence of unique common fixed point of three pairs of weakly commuting self-maps in modular wG-metric spaces. Moreover, we apply our results in solving certain nonlinear three dimensional integral equations. The results proved in this paper extend, improve and generalize several existing results.
引用
收藏
页数:22
相关论文
共 50 条
  • [41] Some fixed point theorems in generalized parametric metric spaces and applications to ordinary differential equations
    Das, Abhishikta
    Ahmad, Hijaz
    Bag, Tarapada
    MATHEMATICA SLOVACA, 2024, 74 (05) : 1277 - 1290
  • [42] SOME FIXED POINT THEOREMS ON COMPLEX VALUED MODULAR METRIC SPACES WITH AN APPLICATION
    Ozkan, Kubra
    Gurdal, Utku
    Mutlu, Ali
    COMMUNICATIONS FACULTY OF SCIENCES UNIVERSITY OF ANKARA-SERIES A1 MATHEMATICS AND STATISTICS, 2021, 70 (02): : 690 - 701
  • [43] Some fixed point theorems in metric spaces
    Jotic, N
    INDIAN JOURNAL OF PURE & APPLIED MATHEMATICS, 1995, 26 (10): : 947 - 952
  • [44] Common fixed point theorems on generalized distance in ordered cone metric spaces
    Cho, Yeol Je
    Saadati, Reza
    Wang, Shenghua
    COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2011, 61 (04) : 1254 - 1260
  • [45] Common fixed point theorems for a class of maps of Φ-contraction in generalized metric spaces
    Gu, Feng
    Yin, Yun
    JOURNAL OF NONLINEAR SCIENCES AND APPLICATIONS, 2016, 9 (07): : 5143 - 5156
  • [46] GENERALIZED DISTANCE AND COMMON FIXED POINT THEOREMS IN MENGER PROBABILISTIC METRIC SPACES
    Saadati, R.
    O'Regan, D.
    Vaezpour, S. M.
    Kim, J. K.
    BULLETIN OF THE IRANIAN MATHEMATICAL SOCIETY, 2009, 35 (02) : 97 - 117
  • [47] Common Coupled Fixed-Point Theorems in Generalized Fuzzy Metric Spaces
    Rao, K. P. R.
    Altun, I.
    Bindu, S. Hima
    ADVANCES IN FUZZY SYSTEMS, 2011, 2011
  • [48] Common Fixed Point Theorems in Intuitionistic Generalized Fuzzy Cone Metric Spaces
    Jeyaraman, Mathuraiveeran
    Suganthi, Mookiah
    Shatanawi, Wasfi
    MATHEMATICS, 2020, 8 (08)
  • [49] COMMON FIXED POINT RESULTS ON NON-ARCHIMEDEAN MODULAR METRIC SPACES WITH SOME APPLICATIONS
    Girgin, Ekber
    Ozturk, Mahpeyker
    JOURNAL OF MATHEMATICAL ANALYSIS, 2021, 12 (01): : 13 - 27
  • [50] Some Common Fixed Point Theorems for Tangential Generalized Weak Contractions in Metric-like Spaces
    Beloul, Said
    FILOMAT, 2017, 31 (06) : 1729 - 1739