# Article

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Keywords:
fuzzy metric space; common fixed points; $t$-norm; compatible maps of type $(\beta )$; compatible maps of type $(\alpha )$; weak compatible maps
Summary:
The object of this paper is to establish a unique common fixed point theorem for six self-mappings satisfying a generalized contractive condition through compatibility of type $( \beta )$ and weak compatibility in a fuzzy metric space. It significantly generalizes the result of Singh and Jain [The Journal of Fuzzy Mathematics $(2006)]$ and Sharma [Fuzzy Sets and Systems $(2002) ]$. An example has been constructed in support of our main result. All the results presented in this paper are new.
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