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, 1-18

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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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnljam:890678

DOI: 10.1155/2012/890678

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