Semicompatibility and fixed point theorems in fuzzy metric space using implicit relation.
In this paper we introduce cone 2-metric space and prove some fixed point theorems of a contractive mapping on a cone 2-metric space.
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 and weak compatibility in a fuzzy metric space. It significantly generalizes the result of Singh and Jain [The Journal of Fuzzy Mathematics and Sharma [Fuzzy Sets and Systems . An example has been constructed in support of our main result. All the results presented in this paper are new.
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