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Common Fixed Point Theorems in a New Fuzzy Metric Space

Author

Listed:
  • Weiquan Zhang
  • Dong Qiu
  • Zhifeng Li
  • Gangqiang Xiong

Abstract

We generalize the Hausdorff fuzzy metric in the sense of Rodríguez-López and Romaguera, and we introduce a new M ∞ -fuzzy metric, where M ∞ -fuzzy metric can be thought of as the degree of nearness between two fuzzy sets with respect to any positive real number. Moreover, under ϕ -contraction condition, in the fuzzy metric space, we give some common fixed point theorems for fuzzy mappings.

Suggested Citation

  • 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.
    • Handle: RePEc:hin:jnljam:890678
    DOI: 10.1155/2012/890678
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    Cited by:

    1. Gunaseelan Mani & Arul Joseph Gnanaprakasam & Liliana Guran & Reny George & Zoran D. Mitrović, 2023. "Some Results in Fuzzy b -Metric Space with b -Triangular Property and Applications to Fredholm Integral Equations and Dynamic Programming," Mathematics, MDPI, vol. 11(19), pages 1-17, September.
    2. Dušan Rakić & Tatjana Došenović & Zoran D. Mitrović & Manuel de la Sen & Stojan Radenović, 2020. "Some Fixed Point Theorems of Ćirić Type in Fuzzy Metric Spaces," Mathematics, MDPI, vol. 8(2), pages 1-15, February.

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