Fixed point theorems involving $\mathcal{FZ}$-$\vartheta_{f}$-contractions in $GV$-fuzzy metrics

Abstract

In this study, we introduce two new types of fuzzy contraction principles, namely: fuzzy $\mathcal{FZ}$-$\vartheta_{f}$-contraction and modified fuzzy $\mathcal{FZ}$-$\vartheta_{f}$-contraction mappings, and utilize the same to establish some fixed point results in the framework of complete GV-fuzzy metric spaces. To further demonstrate the accuracy of the established concepts and results, we provide some examples along with some illustrative corollaries and remarks. The presented results unify, generalize, and improve various existing results in the literature.