Geodesic
Suzuki type fuzzy $\mathcal {Z}$-contractive mappings and fixed points in fuzzy metric spaces
Kybernetika, Tome 57 (2021) no. 6, pp. 908-921

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In this paper, we propose the concept of Suzuki type fuzzy $\mathcal{Z}$-contractive mappings, which is a generalization of Fuzzy $\mathcal{Z}$-contractive mappings initiated in the article [S. Shukla, D. Gopal, W. Sintunavarat, A new class of fuzzy contractive mappings and fixed point theorems, Fuzzy Sets and Systems 350 (2018)85-95]. For this type of contractions suitable conditions are framed to ensure the existence of fixed point in $G$-complete as well as $M$-complete fuzzy metric spaces. A comprehensive set of examples are furnished to demonstrate the validity of the obtained results.
DOI : 10.14736/kyb-2021-6-0908
Classification : 47H10, 54H25
Keywords: fuzzy metric space; fuzzy $\mathcal {Z}$-contractive mapping; Suzuki type fuzzy $\mathcal {Z}$-contractive mappings; fixed point 
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     title = {Suzuki type fuzzy $\mathcal {Z}$-contractive mappings and fixed points in fuzzy metric spaces},
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Gopal, Dhananjay; Martínez-Moreno, Juan. Suzuki type fuzzy $\mathcal {Z}$-contractive mappings and fixed points in fuzzy metric spaces. Kybernetika, Tome 57 (2021) no. 6, pp. 908-921. doi: 10.14736/kyb-2021-6-0908

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