Common Fixed Point Theorems in a New Fuzzy Metric Space

Weiquan Zhang, Dong Qiu, Zhifeng Li and Gangqiang Xiong

Journal of Applied Mathematics, 2012, vol. 2012, issue 1

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.

Date: 2012
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https://doi.org/10.1155/2012/890678

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Persistent link: https://EconPapers.repec.org/RePEc:wly:jnljam:v:2012:y:2012:i:1:n:890678

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