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On Common Fixed Point Theorems in the Stationary Fuzzy Metric Space of the Bounded Closed Sets

Author

Listed:
  • Dong Qiu
  • Chongxia Lu
  • Wei Zhang
  • Yuzhong Mo

Abstract

Under the ϕ‐contraction conditions, we prove common fixed point theorems for self‐mappings in the space 𝒞ℬ(X) of the bounded closed sets in the complete stationary fuzzy metric space with the HM‐fuzzy metric for the bounded closed sets.

Suggested Citation

  • Dong Qiu & Chongxia Lu & Wei Zhang & Yuzhong Mo, 2013. "On Common Fixed Point Theorems in the Stationary Fuzzy Metric Space of the Bounded Closed Sets," Abstract and Applied Analysis, John Wiley & Sons, vol. 2013(1).
    • Handle: RePEc:wly:jnlaaa:v:2013:y:2013:i:1:n:951259
    DOI: 10.1155/2013/951259
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    References listed on IDEAS

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    1. Weiquan Zhang & Dong Qiu & Zhifeng Li & Gangqiang Xiong, 2012. "Common Fixed Point Theorems in a New Fuzzy Metric Space," Journal of Applied Mathematics, Hindawi, vol. 2012, pages 1-18, February.
    2. Weiquan Zhang & Dong Qiu & Zhifeng Li & Gangqiang Xiong, 2012. "Common Fixed Point Theorems in a New Fuzzy Metric Space," Journal of Applied Mathematics, John Wiley & Sons, vol. 2012(1).
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