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http://dx.doi.org/10.5831/HMJ.2014.36.1.157

COMMON FIXED POINT OF SINGLE AND MULTIVALUED MAPS SATISFYING WEAKLY COMMUTING IN IFMS  

Park, Jong Seo (Department of Mathematics Education and Institute of Mathematics Education, Chinju National University of Education)
Publication Information
Honam Mathematical Journal / v.36, no.1, 2014 , pp. 157-165 More about this Journal
Abstract
In this paper, we obtain some common fixed point theorems of single and multivalued maps under hybrid contractive conditions satisfying weakly commuting in IFMS. Our results extend previous ones in IFMS.
Keywords
fixed point; weakly commuting; property(E.A.);
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Times Cited By KSCI : 2  (Citation Analysis)
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1 Jungck, G., Compatible mappings and common fixed points, Int. J. Math. Math. Sci. 9 (1986), 771-779.   DOI   ScienceOn
2 Aamri, A, Moutawkil, D. E., Some new common fixed point theorems under strict contractive conditions, J. Math. Anal. Appl. 270(1), (2002), 181-188.   DOI   ScienceOn
3 Deng, Z. K., Fuzzy pseudo-metric spaces, J. Math. Anal. Appl. 86 (1982), 74-95.   DOI
4 Grabiec, M., Fixed point in fuzzy metric spaces, Fuzzy Sets and Systems 27 (1988), 385-389.   DOI   ScienceOn
5 Kaleva, O., Seikkala, S., On fuzzy metric spaces, Fuzzy Sets and Systems 12 (1984), 215-229.   DOI   ScienceOn
6 Kubiaczyk, I, Sharma, S., Common coincidence point in fuzzy metric spaces, J. Fuzzy Math. 11(1) (2003), 1-5.
7 Sing, B, Chauhan, M. S., Common fixed points of compatible maps in Fuzzy metric spaces, Fuzzy Sets and Systems 115(3) (2000), 471-475.   DOI
8 Singh, S. L., Mishra, S. N., Coincidences and fixed points of nonself hybrid contractions, J. Math. Anal. Appl. 256(2) (2001), 486-497.   DOI
9 Park, J.H., Park, J.S., Kwun, Y.C., A common fixed point theorem in the intuitionistic fuzzy metric space, Advances in Natural Comput. Data Mining (Proc. 2nd ICNC and 3rd FSKD), (2006), 293-300.
10 Park, J.S., Some fixed point theorem using common property(E.A.) in intuitionistic fuzzy metric space, J. Korean Soc. Math. Educ. Ser. B: Pure Appl. Math. 18(3) (2011), 255-260.   과학기술학회마을   DOI
11 Park, J.S., Park, J.H., Kwun, Y.C., On some results for five mappings using compatibility of type(${\alpha}$) in intuitionistic fuzzy metric space, International J. Fuzzy Logic Intelligent Systems 8(4) (2008), 299-305.   DOI
12 Vijayaraju, P., Sajath, Z. M. I., Common fixed points of single and multivalued maps in fuzzy metric spaces, Appl. Math. 2 (2011), 595-599.   DOI
13 Schweizer, B., Sklar, A., Statistical metric spaces. Pacific J. Math. 10 (1960), 314-334.