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Keywords:
fuzzy metric space; fuzzy $\mathcal {Z}$-contractive mapping; Suzuki type fuzzy $\mathcal {Z}$-contractive mappings; fixed point
fuzzy metric space; fuzzy $\mathcal {Z}$-contractive mapping; Suzuki type fuzzy $\mathcal {Z}$-contractive mappings; fixed point
Summary:
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.
References:
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