Jin, Jiaming; Zhu, Chuanxi; Wu, Haochen New fixed point theorem for \(\varphi\)-contractions in KM-fuzzy metric spaces. (English) Zbl 1490.54073 J. Nonlinear Sci. Appl. 9, No. 12, 6204-6209 (2016). 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. Cited in 1 Document MSC: 54H25 Fixed-point and coincidence theorems (topological aspects) 54A40 Fuzzy topology 54E40 Special maps on metric spaces 54E70 Probabilistic metric spaces Keywords:fixed point; Menger probabilistic metric space; \(H\)-type; \(\varphi\)-contraction PDFBibTeX XMLCite \textit{J. Jin} et al., J. Nonlinear Sci. Appl. 9, No. 12, 6204--6209 (2016; Zbl 1490.54073) Full Text: DOI Link