Browse > Article
http://dx.doi.org/10.5391/IJFIS.2011.11.3.149

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)
Publication Information
International Journal of Fuzzy Logic and Intelligent Systems / v.11, no.3, 2011 , pp. 149-152 More about this Journal
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
Implicit function; Weakly compatible function; Property(E.A.);
Citations & Related Records
Times Cited By KSCI : 4  (Citation Analysis)
연도 인용수 순위
1 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.
2 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.
3 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.   DOI   ScienceOn
4 B. Schweizer, A. Sklar, "Statistical metric spaces." Pacific J. Math. vol. 10, pp. 314-334, 1960.
5 B. Singh, S. Jain, "Weak compatibility and fixed point theorems in fuzzy metric space." Ganita vol. 56, pp. 167-176, 2005.
6 S. Sessa, "On a weak commutatively condition in fixed point considerations." Publ. Inst. Math. vol. 32, pp. 149-153, 1982.
7 M. Imdad, J. Ali, "Some common fixed point theorems in fuzzy metric spaces." Math. Commun. vol. 11, pp. 153-163, 2006.
8 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.   과학기술학회마을   DOI   ScienceOn
9 A. George, P. Veeramani, "On some results of analysis for fuzzy metric spaces." Fuzzy Sets and Systems vol. 90, pp. 365-368, 1997.   DOI   ScienceOn
10 M. Imbad, S. Kumar, M.S. Khan, "Remarks on some fixed point theorems satisfying implicit relations." Rad. Math. vol. 11, pp. 135-143, 2002.
11 G. Jungck, "Compatible mappings and common fixed points." Int. J. Math. Math. Sci. vol. 9, pp. 771-779, 1986.   DOI   ScienceOn
12 J. Kramosil, J. Michalek, "Fuzzy metric and statistical metric spaces." Kybernetica vol. 11, pp. 326-334, 1975.
13 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.