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Fixed Point and Subfixed Point for Fuzzy Mappings in Generalized Metric Fuzzy Spaces

Author

Listed:
  • Mila Stojaković
  • Ljiljana Gajić
  • Biljana Carić

Abstract

A generalized metric in space of set of fuzzy sets is introduced. We prove some common fixed point for contractive iterate at the point and orbitally contractive at the point fuzzy mappings and subfixed point results for family of mappings satisfying generalized contractive conditions in generalized metric fuzzy spaces.

Suggested Citation

  • Mila Stojaković & Ljiljana Gajić & Biljana Carić, 2013. "Fixed Point and Subfixed Point for Fuzzy Mappings in Generalized Metric Fuzzy Spaces," Journal of Applied Mathematics, John Wiley & Sons, vol. 2013(1).
    • Handle: RePEc:wly:jnljam:v:2013:y:2013:i:1:n:254259
    DOI: 10.1155/2013/254259
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    References listed on IDEAS

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    1. Saurabh Manro & Sanjay Kumar & S. S. Bhatia & Kenan Tas, 2013. "Common Fixed Point Theorems in Modified Intuitionistic Fuzzy Metric Spaces," Journal of Applied Mathematics, John Wiley & Sons, vol. 2013(1).
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    3. Jiang Zhu & Yuan Wang & Shin Min Kang, 2013. "Common Fixed Point Theorems of New Contractive Conditions in Fuzzy Metric Spaces," Journal of Applied Mathematics, John Wiley & Sons, vol. 2013(1).
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    5. Yonghong Shen & Dong Qiu & Wei Chen, 2013. "On Convergence of Fixed Points in Fuzzy Metric Spaces," Abstract and Applied Analysis, Hindawi, vol. 2013, pages 1-6, August.
    6. Siniša N. Ješić & Nataša A. Babačev & Rale M. Nikolić, 2013. "A Common Fixed Point Theorem in Fuzzy Metric Spaces with Nonlinear Contractive Type Condition Defined Using Φ‐Function," Abstract and Applied Analysis, John Wiley & Sons, vol. 2013(1).
    7. Zead Mustafa & Wasfi Shatanawi & Malik Bataineh, 2009. "Existence of Fixed Point Results in ð º -Metric Spaces," International Journal of Mathematics and Mathematical Sciences, Hindawi, vol. 2009, pages 1-10, July.
    8. Jiang Zhu & Yuan Wang & Shin Min Kang, 2013. "Common Fixed Point Theorems of New Contractive Conditions in Fuzzy Metric Spaces," Journal of Applied Mathematics, Hindawi, vol. 2013, pages 1-9, May.
    9. Saurabh Manro & Sanjay Kumar & S. S. Bhatia & Kenan Tas, 2013. "Common Fixed Point Theorems in Modified Intuitionistic Fuzzy Metric Spaces," Journal of Applied Mathematics, Hindawi, vol. 2013, pages 1-13, May.
    10. Siniša N. Ješić & Nataša A. Babačev & Rale M. Nikolić, 2013. "A Common Fixed Point Theorem in Fuzzy Metric Spaces with Nonlinear Contractive Type Condition Defined Using Φ-Function," Abstract and Applied Analysis, Hindawi, vol. 2013, pages 1-6, March.
    11. Kamran, Tayyab, 2008. "Common fixed points theorems for fuzzy mappings," Chaos, Solitons & Fractals, Elsevier, vol. 38(5), pages 1378-1382.
    12. Wei-Shih Du, 2011. "The Existence of Cone Critical Point and Common Fixed Point with Applications," Journal of Applied Mathematics, Hindawi, vol. 2011, pages 1-22, October.
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