Displaying similar documents to “Common coupled fixed point theorems for contractive mappings in fuzzy metric spaces.”

Compatible mappings of type ( β ) and weak compatibility in fuzzy metric spaces

Shobha Jain, Shishir Jain, Lal Bahadur Jain (2009)

Mathematica Bohemica

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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 ( β ) 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.