The Fuzzy Asymptotically g-contraction Maps in Fuzzy b-Metric Space with Applications

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Keywords:

Asymptotically regular sequence, mappings, fuzzy g-contraction, coincidence point, fuzzy b-metric space

Abstract

We give the notions of fuzzy asymptotically g-contraction, asymptotically maps, and asymptotically regular sequences with examples in this study. We have examined a coincidence point result in fuzzy b-metric space as an application of fuzzy asymptotically g-contraction. 

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Author Biographies

  • Jalaj Tenguria, Barkatullah University, Bhopal

    Assistant Professor
    Dept. of Mathematics  
    NRI Institute of Information Science and Technology, Bhopal 
    E-mail: jalajtenguria@gmail.com

  • Dr. Geeta agrawal, Barkatullah University, Bhopal

    Professor
    Department of Mathematics 
    Govt. M. V. M Bhopal
    E-mail: agrawalgeeta1961@gmail.com

  • Neeraj Malviya, Barkatullah University, Bhopal

    Assistant Professor 
    Dept. of Mathemetics
    Govt.  Degree College, Timarni, Dist. - Harda and Directorate of Higher Education Bhopal, India.
    E-mail: maths.neeraj@gmail.com

References

Bakhtin, I.A. (1989); The contraction mapping principle in quasi-metric spaces, Funct. Anal. Unianowsk Gos. Ped. Inst., 30: 26–37.

Choudhury Binayak S., Das Krishnapada, Das Pradyut, Coincidence Point Theorem Asymptotic Contraction Mapping in Fuzzy Metric Space. J Math Computer SCI-JM. (2010); 1(3):167—173. http://dx.doi.org/10.22436/jmcs.001.03.05

George A., Veeramani P., On Some Results in Fuzzy Metric Spaces, Fuzzy Sets Syst., 64(1994), 395-399. https://doi.org/10.1016/0165-0114(94)90162-7

Kramosil O., Michalek J., Fuzzy Metrics and Statistical Metric Spaces, Kybernetika, 11(1975), 326-334.

Nadaban, S. (2016); Fuzzy b-Metric Spaces, International Journal of Computers Communications & Control, (IJCCC) 11(2):273.

Tenguria J, Agrawal G, Malviya N. (2024) The Invention of Fuzzy g-Contraction Maps and Fuzzy Asymptotically g-Contraction Maps in N- Fuzzy Metric Space with Applications, Presented in National Webinar in Shri Rajendra Suri Govt. College Sardarpur, Dhar, MP, India.

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Published

2024-08-31

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How to Cite

The Fuzzy Asymptotically g-contraction Maps in Fuzzy b-Metric Space with Applications. (2024). ShodhVarta, 3(04). http://shodhvarta.in/index.php/SVJ/article/view/PID-240802