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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
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