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Some Results and Example for Compatible Maps of Type(β) on Intuitionistic Fuzzy Metric Space

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Fuzzy Information and Engineering Volume 2

Part of the book series: Advances in Intelligent and Soft Computing ((AINSC,volume 62))

Abstract

The object of this paper is to obtain some common fixed point theorems for compatible maps of type(β) on intuitionistic fuzzy metric spaces. Our results extend and generalize fixed point theorems on metric spaces, fuzzy metric spaces and intuitionistic fuzzy metric spaces.

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References

  1. Banach, S.: Therrie les operations lineaires. Manograie Math. Warsaw, Poland (1932)

    Google Scholar 

  2. Cho, Y.J., Pathak, H.K., Kang, S.M., Jung, J.S.: Common fixed points of compatible of type(β) on fuzzy metric space. Fuzzy Sets and Systems 93, 99–111 (1998)

    Article  MATH  MathSciNet  Google Scholar 

  3. Edelstein, M.: On fixed and periodic points under contraction mappings. J. London Math. Soc. 37, 74–79 (1962)

    Article  MATH  MathSciNet  Google Scholar 

  4. Grabiec, M.: Fixed point in fuzzy metric spaces. Fuzzy Sets and Systems 27, 385–389 (1988)

    Article  MATH  MathSciNet  Google Scholar 

  5. Kramosil, J., Michalek, J.: Fuzzy metric and statistical metric spaces. Kybernetica 11, 326–334 (1975)

    MathSciNet  Google Scholar 

  6. Mishra, S.N., Sharma, N., Singh, S.L.: Common fixed points of maps on fuzzy metric spaces. Internat. J. Math. Math. Sci. 17, 253–258 (1994)

    Article  MATH  MathSciNet  Google Scholar 

  7. Park, J.H., Park, J.S., Kwun, Y.C.: A common fixed point theorem in the intuitionistic fuzzy metric space. In: Advances in Natural Comput. Data Mining (Proc. 2nd ICNC and 3rd FSKD), pp. 293–300 (2006)

    Google Scholar 

  8. Park, J.H., Park, J.S., Kwun, Y.C.: Fixed point theorems in intuitionistic fuzzy metric space(I). JP J. Fixed Point Theory & Appl. 2(1), 79–89 (2007)

    MATH  MathSciNet  Google Scholar 

  9. Park, J.H., Park, J.S., Kwun, Y.C.: Fixed points \(\mathcal{M}\)-fuzzy metric spaces. Advanced in Soft Computing 40, 206–215 (2007)

    Google Scholar 

  10. Park, J.S., Park, J.H., Kwun, Y.C.: On some results for five mappings using compatibility of type(α) in intuitionistic fuzzy metric space. International J. Fuzzy Logic Intelligent Systems 8(4), 299–305 (2008)

    MathSciNet  Google Scholar 

  11. Park, J.S., Kim, S.Y., Kang, H.J.: A common fixed point theorem in the intuitionistic fuzzy metric space. J. KFIS 16(3), 321–325 (2006)

    Google Scholar 

  12. Park, J.S., Kwun, Y.C.: Some fixed point theorems in the intuitionistic fuzzy metric spaces. F.J.M.S. 24(2), 227–239 (2007)

    MATH  MathSciNet  Google Scholar 

  13. Park, J.S., Kwun, Y.C., Park, J.H.: A fixed point theorem in the intuitionistic fuzzy metric spaces. F.J.M.S. 16(2), 137–149 (2005)

    MATH  MathSciNet  Google Scholar 

  14. Schweizer, B., Sklar, A.: Statistical metric spaces. Pacific J. Math. 10, 314–334 (1960)

    Google Scholar 

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Author information

Authors and Affiliations

  1. Department of Mathematics Education, Chinju National University of Education Jinju, 660-756, South Korea

    Jong Seo Park

  2. Department of Mathematics, Dong-A University, Pusan, 604-714, South Korea

    Young Chel Kwun

  3. Division of Math. Sci., Pukyong National University, Pusan, 608-737, South Korea

    Jin Han Park

Authors
  1. Jong Seo Park
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  2. Young Chel Kwun
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  3. Jin Han Park
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Editor information

Editors and Affiliations

  1. Guangzhou University, China

    Bingyuan Cao

  2. Chongqing University of Science and Technology, Chongqing, PR China

    Tai-Fu Li

  3. Hainan Normal University, Hainan, PR China

    Cheng-Yi Zhang

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© 2009 Springer-Verlag Berlin Heidelberg

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Park, J.S., Kwun, Y.C., Park, J.H. (2009). Some Results and Example for Compatible Maps of Type(β) on Intuitionistic Fuzzy Metric Space. In: Cao, B., Li, TF., Zhang, CY. (eds) Fuzzy Information and Engineering Volume 2. Advances in Intelligent and Soft Computing, vol 62. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-03664-4_69

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  • DOI: https://doi.org/10.1007/978-3-642-03664-4_69

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-03663-7

  • Online ISBN: 978-3-642-03664-4

  • eBook Packages: EngineeringEngineering (R0)

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