FIXED POINT THEOREMS IN INTUITIONISTIC FUZZY METRIC SPACE (I)

Jong Seo Park (South Korea), Jin Han Park (South Korea) and Young Chel Kwun (South Korea)

Received April 3, 2007

References:

[1] M. Grabiec, Fixed point in fuzzy metric spaces, Fuzzy Sets and Systems 27 (1988), 385-389. [2] O. Kramosil and J. Michalek, Fuzzy metric and statistical metric spaces, Kybernetica 11 (1975), 336-344. [3] J. H. Park, Intuitionistic fuzzy metric spaces, Chaos Solitons Fractals 22(5) (2004), 1039-1046. [4] J. S. Park and S. Y. Kim, A fixed point theorem in a fuzzy metric space, Far East J. Math. Sci. (FJMS) 1(6) (1999), 927-934. [5] J. S. Park and Y. C. Kwun, Some fixed point theorems in the intuitionistic fuzzy metric spaces, Far East J. Math. Sci. (FJMS) 24(2) (2007), 227-239. [6] J. S. Park, Y. C. Kwun and J. H. Park, A fixed point theorem in the intuitionistic fuzzy metric spaces, Far East J. Math. Sci. (FJMS) 16(2) (2005), 137-149. [7] J. H. Park, J. S. Park and 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, 2006, pp. 293-300. [8] B. K. Ray and H. Chatterjee, Some results on fixed points in metric and Banach spaces, Bull. Acad. Polon. Math. 25 (1977), 1243-1247. [9] B. Schweizer and A. Sklar, Statistical metric spaces, Pacific J. Math. 10 (1960), 313-334. [10] L. A. Zadeh, Fuzzy sets, Inform. and Control 8 (1965), 338-353.

Keywords and phrases: intuitionistic fuzzy metric space, fixed point, Banach contraction, Edelstein contraction.