Geodesic
Compatible mappings of type $(\beta)$ and weak compatibility in fuzzy metric spaces
Mathematica Bohemica, Tome 134 (2009) no. 2, pp. 151-164
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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.
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.
DOI : 10.21136/MB.2009.140650
Classification : 47H10, 54H25
Keywords: fuzzy metric space; common fixed points; $t$-norm; compatible maps of type $ (\beta ) $; compatible maps of type $ (\alpha ) $; weak compatible maps 
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Jain, Shobha; Jain, Shishir; Jain, Lal Bahadur. Compatible mappings of type $(\beta)$ and weak compatibility in fuzzy metric spaces. Mathematica Bohemica, Tome 134 (2009) no. 2, pp. 151-164. doi: 10.21136/MB.2009.140650

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