Volume 7 • Issue 1 • PP: 24-30 • 2023
Common Fixed Point Theorems ForWeakly Compatible Mappings In Complex Valued M− Fuzzy Metric Spaces
View PDF 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
References
[1] A. Azam , B. Fisher and M. Khan , Common fixed point theorems in complex valued metric space, Numerical Functional Analysis and Optimization, 32(2011), 243-253, doi: 10.1080/01630563.2011.533046.
[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.
[5] A. George and P. Veeramani , On some results in fuzzy metric spaces, Fuzzy Sets and Systems, 64(1994), 395 - 399.
[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
Choose your preferred format