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 A common fixed point theorem in two $mathcal{M}$-fuzzy metric spaces Commun. Korean Math. Soc. 2007 Vol. 22, No. 4, 513-526 Printed December 1, 2007 Shaban Sedghi, Nabi Shobe Islamic Azad University, Islamic Azad University Abstract : In this paper, we give some new definitions of $\mathcal{M}$-fuzzy metric spaces and we prove a common fixed point theorem for six mappings under the condition of compatible mappings of first or second type in two complete $\mathcal{M}$-fuzzy metric spaces. Keywords : {$\mathcal{M}$-fuzzy contractive mapping, complete $\mathcal{M}$-fuzzy metric space, common fixed point theorem. MSC numbers : 54E40, 54E35, 54H25 Downloads: Full-text PDF

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