Common Fixed Point Results for R - Weakly Commuting Mappings in Generalized Fuzzy Metric Spaces

Volume 9, Issue 2, pp 89-102 http://dx.doi.org/10.22436/jmcs.09.02.02

Download PDF

Download XML

• Export citations
  • CITATIONS & REFERENCES
  • EndNote (.ENW)
  • Mendeley, JabRef (.BIB)
  • Papers, Zotero, Reference Manager, RefWorks (.RIS)
  • ARTICLE CITATION
  • EndNote (.ENW)
  • Mendeley, JabRef (.BIB)
  • Papers, Zotero, Reference Manager, RefWorks (.RIS)
  • REFERENCES
  • EndNote (.ENW)
  • Mendeley, JabRef (.BIB)
  • Papers, Zotero, Reference Manager, RefWorks (.RIS)

• 2749 Downloads
• 4583 Views

Authors

R. Muthuraj - PG and Research Department of Mathematics, H.H.The Rajah’s College, Pudukkottai – 622 001, India. R. Pandiselvi - Department of Mathematics, The Madura college, Madurai – 625 011, India. S. Manro - School of Mathematics and Computer Applications, Thapar University, Patiala, India.

Abstract

In this paper, we prove two common fixed point theorems involving R-weakly commuting mappings in the context of \(M\)-fuzzy metric spaces. Our results generalizes the earlier results of Pant [8], Vasuki [15] and Som [13,14] in fuzzy metric spaces.

Share and Cite

Keywords

• \(M\)-fuzzy metric spaces
• \(R\)-Weakly Commuting mappings.

MSC

•  54A40
•  47H10

References

• [1] Amalendu Choudhury, T. Som , Few common fixed point results for weakly commuting mappings, Journal of mathematics and computer Science , 6 (2013), 27-35
  • Google Scholar


• [2] E. Feizi, T. Hosseini, J-Type mappings and fixed point theorems in menger spaces , Journal of mathematics and computer science, 8 (2014), 245-250
  • Google Scholar


• [3] M. Grabee, Fixed points in fuzzy metric spaces, Fuzzy Sets and Systems, 27 (1988), 385-389.
  • View Article
  • Google Scholar


• [4] V. Gregori, A. Sepena, On fixed point theorems in fuzzy metric spaces, Fuzzy Sets and Systems, 125 (2002), 245-252.
  • View Article
  • Google Scholar


• [5] A. George, P. Veeramani, On some results in fuzzy metric spaces, Fuzzy Sets and Systems, 64 (1994), 395-399.
  • View Article
  • Google Scholar


• [6] J. Kramosil, J. Michalek, Fuzzy metric and statistical metric spaces, Kybernetica II, (1975), 330-334.
  • Google Scholar


• [7] E. Movahednia, S. Eshtehar, Fixed Point and Hyers-Ulam-Rassias Stability of a Quadratic Functional Equation in Menger Probabilistic Normed Spaces, The Journal of Mathematics and Computer Science, 5 (2012), 22-27


• [8] R. P. Pant, Common fixed points of non-commuting mappings, J. Math. Anal. Appl., 188(2) (1994), 436-440.


• [9] B. Schweizer, A. Sklar, Statistical metric spaces, Pacific J. Math., 10 (1960), 314- 334.
  • Google Scholar


• [10] S. Sedghi, N. Shobe , Fixed point theorem is \(M\)-fuzzy metric spaces with property (E), Advances in Fuzzy Mathematics, 1(1) (2006), 55-65.
  • Google Scholar


• [11] S. Sedghi, N. Shobe, S. Sedghi, Common fixed point theorems for two mappings in D*- metric spaces, Journal of Prime Research in Mathematics, 4 (2008), 132-142.
  • Google Scholar


• [12] H. Shojaei , K. Banaei, N. Shojaei, Fixed Point Theorems for Weakly Compatible Maps Under E.A. Property in Fuzzy 2-Metric Spaces, Journal of mathematics and computer Science , 6 (2013), 118-128.
  • Google Scholar


• [13] T. Som, Some fixed point theorems on metric and Banach spaces, Indian J. Pure Appl. Math., 16(6) (1985), 575-585.
  • Google Scholar


• [14] T. Som, Some results on common fixed point in fuzzy metric spaces, Soochow J. Math., 33(4) (2007), 553-561.
  • MathSciNet
  • Google Scholar


• [15] R. Vasuki, Common Fixed Points for R-weakly commuting maps in fuzzy metric spaces, Indian J. Pure Appl. Math., 30(4) (1999), 419-423.
  • MathSciNet
  • Google Scholar


• [16] T. Veerapandi, M. Jeyaraman, J. P. R. Paul, Some fixed point and coincident point theorem in generalized \(M\)-fuzzy metric space, Int. Journal of Math. Analysis, 3 (2009), 627-635.
  • Google Scholar
  • MATH


• [17] Virendra Singh Chouhan, A. Ganguly, Convergence of Common Fixed Point Theorems in Fuzzy Metric Spaces, Journal of mathematics and computer science , 8 (2014), 93-97
  • Google Scholar


• [18] L. A. Zadeh, Fuzzy Sets, Information and Control, 8 (1965), 338-353.