Approximating common fixed points on multiplicative b-metricspaces using the weakly commuting mappings

  • Authors

    • Kuleshwari
    • Rohit Kumar Verma
    • Prachi Singh
    • Jaynendra Shrivas Hemchand Yadav Vishwavidyalaya Durg(C.G.)

    Received date: March 1, 2024

    Accepted date: March 3, 2024

    Published date: March 22, 2024

    https://doi.org/10.14419/seqn3s92
  • Weakly commutative mappings; multiplicative b-metric space; common fixed points

  • Abstract

    The aim of this paper is to prove some common fixed point theorems for four pair of weakly commuting mappings using multiplicative b-metric spaces. Our results obtained in this paper improve, extend and unify some related results in the literature.

  • References

    1. S. Banach, Sur les op ́erations dans les ensembles abstraits et leur application aux ́equations int ́egrales. Fundamental mathematics, 3(1)(1922), 133–181.
    2. A.E. Bashirov, E.M. Kurplnara, and A. Ozyaplcl, Multiplicative calculus and its applications, J. Math. Anal. Appl, 337(2008), 36-48.
    3. X. He, M. song and D. Chen, Common fixed points for weak commutative mappings on a multiplicative metric space, Fixed point theory and applications, 2014(1)(2014), 1-9.
    4. G. Jungck, Commuting mappings and fixed points, Amer. Math. Monthly, 83(1)(1976), 261–263.
    5. S.M. Kang, P. Kumar, S. Kumar, P. Nagpal and S.K. Garg, Common fixed points for compatible mappings and its variants in multiplicative metric spaces, Int. J. Pure Appl. Math, 102(2)(2015), 383-406.
    6. M. Ozavsar, and A.C. Cevikel, Fixed point of multiplicative contraction mappings on multiplicative metric space, arXiv:1205.5131v1 [math.GN], (2012).

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  • How to Cite

    Kuleshwari, Verma, R. K. ., Singh, P. ., & Shrivas, J. (2024). Approximating common fixed points on multiplicative b-metricspaces using the weakly commuting mappings. International Journal of Applied Mathematical Research, 13(1), 20-25. https://doi.org/10.14419/seqn3s92

    Received date: March 1, 2024

    Accepted date: March 3, 2024

    Published date: March 22, 2024