Some Fixed Point Theorems in Extended Fuzzy Metric Spaces

Year 2023, Volume: 16 Issue: 1, 67 - 75, 31.03.2023

Meryem Şenocak , Erdal Güner

https://doi.org/10.18185/erzifbed.1146294

Abstract

In this article, we would like to present a newly fuzzy contraction mapping and using it we would like to prove a fixed point theorem. In fact, we transfer this contraction mapping, first defined in metric spaces [15], and then transferred to fuzzy metric spaces [9] with modification, to extended fuzzy metric spaces [6]. And so we prove some fixed point theorems [9] existing in the literature in the new spaces [6].

Keywords

Fixed-point, Extended fuzzy metric space, Fuzzy contraction.

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