Fixed-point theorems in extended fuzzy metric spaces via $\alpha-\phi-\mathcal{M}^{0}$ and $\beta-\psi-\mathcal{M}^{0}$ fuzzy contractive mappings

Year 2023, Volume: 72 Issue: 1, 71 - 83, 30.03.2023

Meryem Şenocak , Erdal Güner

https://doi.org/10.31801/cfsuasmas.1038245

Abstract

In this article we would like to present a new type of fuzzy contractive mappings which are called $\alpha-\phi-\mathcal{M}^{0}$ fuzzy contractive and $\beta-\psi-\mathcal{M}^{0}$ fuzzy contractive, and then we demonstrate two theorems which ensure the existence of a fixed point for these two types of mappings. And so we combine and generalize some existing notions in the literature ([5], [7]). Proved these theorems in the extended fuzzy metric spaces are in the more general version than the existing in the literature ones.

Keywords

Fixed-point, extended fuzzy metric space, fuzzy contractive mapping

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