Common fixed point theorems in a new fuzzy metric space.

*(English)*Zbl 1235.54057Summary: We generalize the Hausdorff fuzzy metric in the sense of Rodríguez-López and Romaguera, and we introduce a new \(M_\infty\) -fuzzy metric, where \(M_\infty\)-fuzzy metric can be thought of as the degree of nearness between two fuzzy sets with respect to any positive real number. Moreover, under \(\phi\)-contraction condition, in the fuzzy metric space, we give some common fixed point theorems for fuzzy mappings.

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\textit{W. Zhang} et al., J. Appl. Math. 2012, Article ID 890678, 18 p. (2012; Zbl 1235.54057)

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