Browse > Article
http://dx.doi.org/10.5391/IJFIS.2007.7.3.159

A Fixed Point for Pair of Maps in Intuitionistic Fuzzy Mtric Space  

Park, Jong-Seo (Department of Mathematic Education, Chinju National University of Education)
Kim, Seon-Yu (Department of Mathematic Education, Chinju National University of Education)
Publication Information
International Journal of Fuzzy Logic and Intelligent Systems / v.7, no.3, 2007 , pp. 159-164 More about this Journal
Abstract
Park, Park and Kwun[6] is defined the intuitionistic fuzzy metric space in which it is a little revised from Park[5]. According to this paper, Park, Kwun and Park[11] Park and Kwun[10], Park, Park and Kwun[7] are established some fixed point theorems in the intuitionistic fuzzy metric space. Furthermore, Park, Park and Kwun[6] obtained common fixed point theorem in the intuitionistic fuzzy metric space, and also, Park, Park and Kwun[8] proved common fixed points of maps on intuitionistic fuzzy metric spaces. We prove a fixed point for pair of maps with another method from Park, Park and Kwun[7] in intuitionistic fuzzy metric space defined by Park, Park and Kwun[6]. Our research are an extension of Vijayaraju and Marudai's result[14] and generalization of Park, Park and Kwun[7], Park and Kwun[10].
Keywords
t-norm; t-conorm; Intuitionistic Fuzzy Metric Space; Fixed Point;
Citations & Related Records
연도 인용수 순위
  • Reference
1 O. Kaleva, S. Seikkala, On fuzzy metric spaces, Fuzzy Sets and Systems 12 (1984), 215-229   DOI   ScienceOn
2 O. Kramosil, J. Michalek, Fuzzy metric and statistical metric spaces, Kybernetica 11 (1975), 336-344
3 S.M. Mishra, N. Sharma, S.L. Singh, Common fixed points of maps on fuzzy metric spaces, Intemat. J. Math, and Math. Sci. 17 (1994), 253-258   DOI   ScienceOn
4 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), (2006), 293-300
5 J.S. Park, Y.C. Kwun, Some fixed point theorems in the intuitionistic fuzzy metric spaces, F.J.M.S. 24(2) (2007), 227-239
6 J.S. Park, Y.C. Kwun, J.H. Park, A fixed point theorem in the intuitionistic fuzzy metric spaces, F.J.M.S. 16(2) (2005), 137-149
7 P.V. Subrahmanyam, A common fixed point theorem in fuzzy metric spaces, Inform. Sci. 83 (1995), 103-112
8 P. Vijayaraju, M. Marudai, Fixed point for pair of maps in fuzzy metric spaces, J. Fuzzy Math. 8(1) (2000), 117-122
9 J.H. Park, J.S. Park, Y.C. Kwun, Common fixed points of maps on intuitionistic fuzzy metric spaces, to appear
10 M. Grabiec, Fixed point in fuzzy metric spaces, Fuzzy Sets and Systems 27 (1988), 385-389   DOI   ScienceOn
11 J.H. Park, Intuitionistic fuzzy metric spaces, Chaos Solitons & Fractals 22(5) (2004), 1039-1046   DOI   ScienceOn
12 L.A. Zadeh, Fuzzy sets, Inform, and Control 8 (1965), 338-353   DOI
13 J.S. Park, S.Y. Kim, A fixed point Theorem in a fuzzy metric space, F.J.M.S. 1(6) (1999), 927-934
14 J.H. Park, J.S. Park, Y.C. Kwun, Fixed point theorems in intuitionistic fuzzy metric space(I), to appear
15 B. Schweizer, A. Sklar, Statistical metric spaces, Pacific J. Math. 10 (1960), 314-334