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Common coupled fixed point theorems for contractive mappings in fuzzy metric spaces. (English) Zbl 1213.54012
Summary: We prove a common fixed point theorem for mappings under ϕ-contractive conditions in fuzzy metric spaces. We also give an example to illustrate the theorem. The result is a genuine generalization of the corresponding result of S. Sedghi et al. [Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 72, No. 3-4, A, 1298–1304 (2010; Zbl 1180.54060)].

MSC:
54A40Fuzzy topology
54H25Fixed-point and coincidence theorems in topological spaces
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