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COMMON FIXED POINT THEOREM OF SEMI-COMPATIBLE MAPS ON INTUITIONISTIC FUZZY METRIC SPACE

박종서
대한수학회 (The Korean Mathematical Society)|2010.01|대한수학회논문집 (Communications of the KMS)|제25권 제1호|pp. 59-68

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참고문헌

키워드

Cauchy sequencecompleteintuitionistic fuzzy metric spacecompatible mapsemi-compatible map
주제분류수학

초록

In this paper, we prove common fixed point theorems for semi-compatible mappings on intuitionistic fuzzy metric space with different some conditions of Park and Kim [10]. This research extended and generalized the results of Singh and Chauhan [14].

Abstract

In this paper, we prove common fixed point theorems for semi-compatible mappings on intuitionistic fuzzy metric space with different some conditions of Park and Kim [10]. This research extended and generalized the results of Singh and Chauhan [14].

참고문헌 (15)

  1. S. Banach, "Theorie des operations lineaires" (1932), Monografje Mathematyczne.
  2. M. Grabiec, "Fixed point in fuzzy metric spaces", Fuzzy Sets and Systems, 27, pp.385~389 (1988)
  3. G. Jungck, "Compatible mappings and common fixed points", Internat. J. Math. Math. Sci., 9, pp.779~791 (1986)
  4. G. Jungck, "Compatible mappings and common fixed point (2)", Internat. J. Math. Math. Sci., 11(2), pp.285~288 (1988)
  5. J. Kramosil, "Fuzzy metric and statistical metric spaces", Kybernetica, 11, pp.326~334 (1975)
  6. J. H. Park, "Intuitionistic fuzzy metric spaces", Chaos Solitons & Fractals, 22(5), pp.1039~1046 (2004)
  7. J. H. Park, "A common fixed point theorem in the intuitionistic fuzzy metric space", Advances in Natural Comput. Data Mining(Proc. 2nd ICNC and 3rd FSKD), pp.293~300 (2006)
  8. J. S. Park, "On some results in intuitionistic fuzzy metric space", J. Fixed Point Theory & Appl., 3(1), pp.39~48 (2008)
  9. J. S. Park, "A fixed point Theorem in a fuzzy metric space", F. J. M. S., 1(6), pp.927~934 (1999)
  10. J. S. Park, "Some fixed point theorems in the intuitionistic fuzzy metric spaces", F. J. M. S., 24(2), pp.227~239 (2007)
  11. J. S. Park, "A fixed point theorem in the intuitionistic fuzzy metric spaces", F. J. M. S., 16(2), pp.137~149 (2005)
  12. B. Schweizer, "Statistical metric spaces", Pacific J. Math., 10(10), pp.314~334 (1960)
  13. B. Singh, "Common fixed points of compatible maps in fuzzy metric spaces", Fuzzy Sets and Systems, 115, pp.471~475 (2000)
  14. 박종서, "Common fixed point theorem and example in intuitionistic fuzzy metric space", 한국지능시스템학회 논문지, 18(4), pp.524~529 (2008), 한국지능시스템학회
  15. L. A. Zadeh, "Fuzzy sets", Inform. and Control, 8, pp.338~ (1965)

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