COMMON FIXED POINT FOR COMPATIBLE MAPPINGS OF TYPE(α) ON INTUITIONISTIC FUZZY METRIC SPACE WITH IMPLICIT RELATIONS

• Journal title : Honam Mathematical Journal
• Volume 32, Issue 4,  2010, pp.663-673
• Publisher : The Honam Mathematical Society
• DOI : 10.5831/HMJ.2010.32.4.663
Title & Authors
COMMON FIXED POINT FOR COMPATIBLE MAPPINGS OF TYPE(α) ON INTUITIONISTIC FUZZY METRIC SPACE WITH IMPLICIT RELATIONS
Park, Jong-Seo;

Abstract
In this paper, we will establish common fixed point for compatible mappings of type($\small{{\alpha}}$) for four self mappings defined on intuitionistic fuzzy metric space with implicit relations.
Keywords
common fixed point theorem;compatible mapping of type($\small{{\alpha}}$);implicit relation;
Language
English
Cited by
1.
Common Fixed Point and Example for Type(β) Compatible Mappings with Implicit Relation in an Intuitionistic Fuzzy Metric Space,;

International Journal of Fuzzy Logic and Intelligent Systems, 2014. vol.14. 1, pp.66-72
1.
Common Fixed Point and Example for Type(β) Compatible Mappings with Implicit Relation in an Intuitionistic Fuzzy Metric Space, International Journal of Fuzzy Logic and Intelligent Systems, 2014, 14, 1, 66
References
1.
Altun I., Turkoglu D., 2008. Some fixed point theorems on fuzzy metric spaces with implicit relations. Commun. Korean Math. Soc. 23. 111-124.

2.
Grabiec, 1988. Fixed point in fuzzy metric spaces. Fuzzy Sets and Systems 27, 385-389.

3.
Imbad M., Kumar S., Khan M.S., 2002. Remarks on some fixed point theorems satisfying implicit relations. Rad. Math. 11, 135-143.

4.
Kramosil,J., Michalek J., 1975. Fuzzy metric and statistical metric spaces. Kybernetica, 11, 326-334.

5.
Kaleva, O., Seikkala, S., 1984. On fuzzy metric spaces. Fuzzy Sets and Systems 12, 215-229.

6.
Park, J.H., Park, J.S., Kwun, Y.C., 2006. A common fixed point theorem in the intuitionistic fuzzy metric space. Advances in Natural Comput. Data Mining(Proc. 2nd ICNC and 3rd FSKD), 293-300.

7.
Park, J.H., Park, J.S., Kwun, Y.C., 2007. Fixed. point theorems in intuitionistic fuzzy metric space(I). JP J. fixed. point Theory & Appl. 2(1), 79-89.

8.
Park, J.S., Kim, S.Y., 1999. A fixed point theorem in a fuzzy metric space. F.J.M.S. 1(6), 927-934.

9.
Park, J.S., Park, J.H., Kwun, Y.C., 2008. On some results for five mappings using compatibility of type($\alpha$) in intuitionistic fuzzy metric space. International J. Fuzzy Logic Intelligent Systems 8(4), 299-305

10.
Park, J.S., Kim, S.Y., 2008. Common fixed point theorem and example in intuitionistic fuzzy metric space. J. Fuzzy Logic and Intelligent Systems 18(4), 524-529.

11.
Park, J.S., Kwun, Y.C., Park, J.H., 2005. A fixed. point theorem in the intuitionistic fuzzy metric spaces. F.J.M.S. 16(2), 137-149.

12.
Schweizer, B., Sklar, A., 1960. Statistical metric spaces. Pacific J. Math. 10, 314-334.