DOI QR코드

DOI QR Code

Fixed Point Theorem for Common Property(E.A.) and Weak Compatible Functions in Intuitionistic Fuzzy Metric Space

  • Park, Jong-Seo (Department of Mathematic Education, Chinju National University of Education)
  • Received : 2011.06.27
  • Accepted : 2011.09.06
  • Published : 2011.09.25

Abstract

In this paper, we obtain common fixed point theorem for common property(E.A.) and weakly compatible functions in intuitionistic fuzzy metric space.

Keywords

References

  1. I. Altun, D. Turkoglu, "Some fixed point theorems on fuzzy metric spaces with implicit relations." Comm. Korean Math. Soc. vol. 23, no. 1, pp. 111-124, 2008. https://doi.org/10.4134/CKMS.2008.23.1.111
  2. A. George, P. Veeramani, "On some results of analysis for fuzzy metric spaces." Fuzzy Sets and Systems vol. 90, pp. 365-368, 1997. https://doi.org/10.1016/S0165-0114(96)00207-2
  3. M. Imbad, S. Kumar, M.S. Khan, "Remarks on some fixed point theorems satisfying implicit relations." Rad. Math. vol. 11, pp. 135-143, 2002.
  4. M. Imdad, J. Ali, "Some common fixed point theorems in fuzzy metric spaces." Math. Commun. vol. 11, pp. 153-163, 2006.
  5. G. Jungck, "Compatible mappings and common fixed points." Int. J. Math. Math. Sci. vol. 9, pp. 771-779, 1986. https://doi.org/10.1155/S0161171286000935
  6. J. Kramosil, J. Michalek, "Fuzzy metric and statistical metric spaces." Kybernetica vol. 11, pp. 326-334, 1975.
  7. J.H. Park, J.S. Park, Y.C. Kwun, "A common fixed point theorem in the intuitionistic fuzzy metric space." Advances in Natural Comput. Data Mining(Proc. 2nd ICNC and 3rd FSKD), pp. 293-300, 2006.
  8. J.S. Park, "On fixed point theorem of weak compatible maps of $type({\gamma})$ in complete intuitionistic fuzzy metric space." Int. J. F. I. S. vol. 11, no. 1, pp. 38-43, 2011.
  9. J.S. Park, "Some fixed point theorem using common property(E.A.) in intuitionistic fuzzy metric space. J. Korean Soc. Math. Educ. Ser. B; vol. 18, no. 3, pp. 255-260, 2011.
  10. J.S. Park, J.H. Park, Y.C. Kwun, "On some results for five mappings using compatibility of $type({\alpha})$ in intuitionistic fuzzy metric space." International J. Fuzzy Logic Intelligent Systems vol. 8, no. 4, pp. 299-305, 2008. https://doi.org/10.5391/IJFIS.2008.8.4.299
  11. B. Schweizer, A. Sklar, "Statistical metric spaces." Pacific J. Math. vol. 10, pp. 314-334, 1960.
  12. B. Singh, S. Jain, "Weak compatibility and fixed point theorems in fuzzy metric space." Ganita vol. 56, pp. 167-176, 2005.
  13. S. Sessa, "On a weak commutatively condition in fixed point considerations." Publ. Inst. Math. vol. 32, pp. 149-153, 1982.

Cited by

  1. Fixed Point Theorems for Weakly Compatible Functions using (JCLR) Property in Intuitionistic Fuzzy Metric Space vol.12, pp.4, 2012, https://doi.org/10.5391/IJFIS.2012.12.4.296
  2. Some Common Fixed Points for Type(β) Compatible Maps in an Intuitionistic Fuzzy Metric Space vol.13, pp.2, 2013, https://doi.org/10.5391/IJFIS.2013.13.2.147