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SOME COMMON FIXED POINT THEOREMS USING COMPATIBLE MAPS OF TYPE(α) ON INTUITIONISTIC FUZZY METRIC SPACE

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In this paper, we prove some common fixed point theorems for six maps satisfying compatible maps of type(α) on intuitionistic fuzzy metric spaces in sense of Park et al.[7]. Our research are generalization and extension for the results of [1], [2], [3] and [13].

Abstract

In this paper, we prove some common fixed point theorems for six maps satisfying compatible maps of type(α) on intuitionistic fuzzy metric spaces in sense of Park et al.[7]. Our research are generalization and extension for the results of [1], [2], [3] and [13].

참고문헌 (15)

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  2. Grabiec, M, "Fixed point in fuzzy metric spaces", Fuzzy Sets and Systems, 27, pp.385~389 (1988)
  3. Jungck, G, "Commuting mappings and ¯xed points", Amer. Math. Monthly, 83, pp.261~263 (1976)
  4. Jungck, G, "Compatible mappings of type(A) and common¯xed points", Math. Japonica, 38(2), pp.381~390 (1993)
  5. Kaleva, O, "On fuzzy metric spaces", Fuzzy Sets and Systems, 12, pp.215~229 (1984)
  6. Kramosil, J, "Fuzzy metric and statistical metric spaces", Kybernetica, 11, pp.326~334 (1975)
  7. Park, J.H, "A common ¯xed point theorem in the intuition-istic fuzzy metric space. Advances in Natural Comput. Data Mining", 2nd ICNC and 3rd FSKD, pp.293~300 (2006)
  8. Park, J.S, "A ¯xed point theorem in a fuzzy metric space", F.J.M.S, 1(6), pp.927~934 (1999)
  9. 박종서, "A common fixed point theorem in the intuitionistic fuzzy metric space", 한국지능시스템학회 논문지, 16(3), pp.321~325 (2006), 한국지능시스템학회
  10. 박종서, "On Some Resultsfor Five Mappingsusing Compatibility of Type(α) in Intuitionistic Fuzzy Metric Space", International Journal of Fuzzy Logic and Intelligent systems, 8(4), pp.299~305 (2008), 한국지능시스템학회
  11. Park, J.S, "Some ¯xed point theorems in the intuitionistic fuzzy metric spaces", F.J.M.S, 24(2), pp.227~239 (2007)
  12. Park, J.S, "A ¯xed point theorem in the intuitionistic fuzzy metric spaces", F.J.M.S, 16(2), pp.137~149 (2005)
  13. Sharma, S, "Common ¯xed point theorems in fuzzy metric spaces", Fuzzy Sets and Systems, 127, pp.345~352 (2002)
  14. Schweizer, B, "Statistical metric spaces", Paci¯c J. Math, 10, pp.314~334 (1960)
  15. Zadeh, L.A, "Fuzzy sets", Inform. and Control, 8, pp.338~353 (1965)

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