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.