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Title

Common Fixed Point Theorems ForWeakly Compatible Mappings In Complex Valued M− Fuzzy Metric Spaces

  M. Jeyaraman 1 * ,   M. Pandiselvi 2

1  Department of Mathematics,Raja Doraisingam Govt. Arts College, Sivagangai, Affiliated to Alagappa University, Karaikudi, Tamil Nadu, India
    (jeya.math@gmail.com)

2  Department of Mathematics,Raja Doraisingam Govt. Arts College, Sivagangai, Affiliated to Alagappa University, Karaikudi, Tamil Nadu, India
    (mpandiselvi2612@gmail.com)


Doi   :   https://doi.org/10.54216/JNFS.070103

Received: January 21, 2023 Revised: May 19, 2023 Accepted: June 20, 2023

Abstract :

In this paper, we introduce the notion of complex valued M- fuzzy metric spaces. We are proving a common fixed point theorem for weakly compatible mappings satisfying common E.A. Like property in complex valued M- fuzzy metric space. Our results improve and extend the results of Singh et al.11

Keywords :

Metric Space , Complex Valued , Common E.A. Like Property , Compatible Maps , Weakly Compatible Maps.

References :

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[2] J. Ahmad, A. Azam, and S.Saejung, Common fixed point results for contractive mappings in complex valued metric spaces, Fixed point thoeory Appl.., 67(2014), doi: 10.1186/1687-1812-2014-67.

[3] J.J. Buckley , Fuzzy complex numbers, Fuzzy Sets and Systems, 33(1989), 333-345, doi: 10.110.1016/0165-0114(89)90122.

[4] Uday Dolas, A common fixed point theorem in fuzzy metric spaces using common E.A. Like property, Journal of Applied Mathematics and computation, 2(6)(2018), 245 - 250.

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[6] M. Jeyaraman and R. Dhanalakshmi , Common fixed point theorems in M− fuzzy metric spaces, International Journal of Mathematical Archive, 4(5)(2013), 343-348.

[7] M. Jeyaraman, S. Sowndrarajan and D. Poovaragavan , Some Fixed Point Theorem for Generalized (ψ, φ)− Contractive Mappings in Strong M− Fuzzy Metric Spaces, International Journal of Pure and Applied Mathematics, 119(12)(2018), 3119 - 3131.

[8] M. Jeyaraman and S. Sowndrarajan , Common tripled fixed point theorems for weakly compatible mappings in M− fuzzy metric spaces, Annals of Pure and Applied Mathematics, 14(3)(2017), 427- 436, doi:10.22457/apam.114n3a9.

[9] G. Jungck, Compatible mappings and common fixed points, Internat. Math. J. Maths. Sci., 9(1986), 771 - 779.

[10] I. Kramosil and J. Michalek , Fuzzy metric and statistical spaces, Kybernetica, 11(1975), 336 - 344.

[11] D. Ramot , R. Milo , M. Friedman and A. Kandel , Complex fuzzy sets, IEEE Transactions of Fuzzy System,10(2002), 171 - 186, doi: 10.1109/91.995119.

[12] D. Singh , V. Joshi , M. Imdad , P. Kumar , A novel framework of complex valued fuzzy metric spaces fixed point theorems, Journal of Intelligent and Fuzzy systems, 30(6)(2016), 3227-3238.

[13] S. Sedghi and N. Shobe , Fixed point theorem inM-fuzzy metric spaces with property (E), Advances in Fuzzy Mathematics, 1(1)(2006), 55 - 65.

[14] T. Veerapandi, M. Jeyaraman and Paul Raj Joseph, Common fixed point theorem in generalizedM− fuzzy metric spaces, International Review of Pure and Applied Mathematics, 4(2)(2008), 203 - 210.

[15] V.Vinoba, M.Jeyaraman, V.Pazhani, Common fixed point theorems for weakly compatible mappings inM-fuzzy metric spaces, Int. journal of pure and applied mathematics,199(12)(2018),3133-3141.

[16] L. A. Zadeh , Fuzzy sets, Inform. and Control, 8(1965), 338 - 353. 


Cite this Article as :
Style #
MLA M. Jeyaraman, M. Pandiselvi. "Common Fixed Point Theorems ForWeakly Compatible Mappings In Complex Valued M− Fuzzy Metric Spaces." Full Length Article, Vol. 7, No. 1, 2023 ,PP. 24-30 (Doi   :  https://doi.org/10.54216/JNFS.070103)
APA M. Jeyaraman, M. Pandiselvi. (2023). Common Fixed Point Theorems ForWeakly Compatible Mappings In Complex Valued M− Fuzzy Metric Spaces. Journal of Full Length Article, 7 ( 1 ), 24-30 (Doi   :  https://doi.org/10.54216/JNFS.070103)
Chicago M. Jeyaraman, M. Pandiselvi. "Common Fixed Point Theorems ForWeakly Compatible Mappings In Complex Valued M− Fuzzy Metric Spaces." Journal of Full Length Article, 7 no. 1 (2023): 24-30 (Doi   :  https://doi.org/10.54216/JNFS.070103)
Harvard M. Jeyaraman, M. Pandiselvi. (2023). Common Fixed Point Theorems ForWeakly Compatible Mappings In Complex Valued M− Fuzzy Metric Spaces. Journal of Full Length Article, 7 ( 1 ), 24-30 (Doi   :  https://doi.org/10.54216/JNFS.070103)
Vancouver M. Jeyaraman, M. Pandiselvi. Common Fixed Point Theorems ForWeakly Compatible Mappings In Complex Valued M− Fuzzy Metric Spaces. Journal of Full Length Article, (2023); 7 ( 1 ): 24-30 (Doi   :  https://doi.org/10.54216/JNFS.070103)
IEEE M. Jeyaraman, M. Pandiselvi, Common Fixed Point Theorems ForWeakly Compatible Mappings In Complex Valued M− Fuzzy Metric Spaces, Journal of Full Length Article, Vol. 7 , No. 1 , (2023) : 24-30 (Doi   :  https://doi.org/10.54216/JNFS.070103)