International Journal of Fuzzy Logic and Intelligent Systems

  • 제9권2호
  • /
  • Pages.137-140
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  • 2009
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  • 1598-2645(pISSN)
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  • 2093-744X(eISSN)
한국지능시스템학회 (Korean Institute of Intelligent Systems)
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Some Properties and Theorems on Intuitionistic Fuzzy Metric Space

  • Park, Jong-Seo (Department of Mathematic Education, Chinju National University of Education)
  • 투고 : 2008.04.14
  • 심사 : 2008.06.01
  • 발행 : 2009.06.30
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초록

In this paper, we introduce and formulate the definitions of Banach operator type k and Banach operator pair on intuitionistic fuzzy metric space. Thereafter we prove some properties and theorems on intuitionistic fuzzy metric space.

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참고문헌

  1. Park, J.H., Park, J.S., Kwun,Y.C., "A common fixed point theorem in the intuitionistic fuzzy met-ric space," Advances in Natural Comput. Data Min-ing(Proc. 2nd ICNC and 3rd FSKD), pp. 293–300, 2006
  2. Park, J.H., "Intuitionistic fuzzy metric spaces," Chaos Solitons & Fractals, vol. 22, no. 5, pp.1039–1046, 2004
  3. Park, J.S., Kwun, Y.C., "Some fixed point theorems in the intuitionistic fuzzy metric spaces," F.J.M.S., vol. 24, no. 2, pp. 227–239, 2007
  4. Park, J.S., Kwun, Y.C., Park, J.H., " A fixed point theorem in the intuitionistic fuzzy metric spaces," F.J.M.S., vol.16, no. 2, pp.137–149, 2005
  5. Schweizer,B., Sklar,A., "Statistical metric spaces," Pacific J. Math., vol. 10, pp. 314–334, 1960
  6. Vijayaraju, P., Hemavathy, R., "Common fixed point theorem for generalized asymptotically nonexpan-sive noncommuting mappings in a nonstarshaped do-main," JP J. fixed point Theory & Appl., vol. 3, no. 2, pp. 133–147, 2008