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New fixed point theorem for \(\varphi\)-contractions in KM-fuzzy metric spaces. (English) Zbl 1490.54073

Summary: In this paper, by modifying the class of gauge functions \(\Phi_w\) and \(\Phi_{w^*}\), a new fixed point theorem for \(\varphi\)-contractions in KM-fuzzy metric spaces with a t-norm of \(H\)-type is established. We also give an example to illustrate the validity of our main results.

MSC:

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