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A common fixed point theorem in fuzzy metric-space. (English) Zbl 1312.47064

Summary: The purpose of this paper is to obtain a common fixed point theorem for weakly compatible self-maps satisfying the property (E. A.) using implicit relation on a non complete fuzzy metric space. Also, our result does not require the continuity of the maps. Our result generalizes the results of B. Singh and S. Jain [Int. J. Math. Math. Sci. 2005, No. 16, 2617–2629 (2005; Zbl 1087.54506)]. An example is also given to illustrate the result.

MSC:

47H10 Fixed-point theorems
54H25 Fixed-point and coincidence theorems (topological aspects)

Citations:

Zbl 1087.54506
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