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Common fixed point theorems for two pairs of weakly compatible mappings in Menger spaces and fuzzy metric spaces. (English) Zbl 1289.54143
Summary: In this paper, we prove a common fixed point theorem for two pairs of weakly compatible mappings satisfying a contraction type condition in Menger spaces. As application to our result, we obtain the corresponding common fixed point theorem in fuzzy metric spaces.

##### MSC:
 54H25 Fixed-point and coincidence theorems (topological aspects) 54E70 Probabilistic metric spaces 54A40 Fuzzy topology 54E40 Special maps on metric spaces