Semicompatibility and fixed point theorems in fuzzy metric space using implicit relation.

Singh, Bijendra; Jain, Shishir

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Displaying similar documents to “Semicompatibility and fixed point theorems in fuzzy metric space using implicit relation.”

Impact of common property (E.A.) on fixed point theorems in fuzzy metric spaces.

Gopal, D., Imdad, M., Vetro, C. (2011)

Fixed Point Theory and Applications [electronic only]

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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.