Journal of Inequalities and Applications (Jun 2022)
Fixed point results via extended FZ $\mathcal{FZ}$ -simulation functions in fuzzy metric spaces
Abstract
Abstract In this paper, we introduce a new class of control functions, namely extended FZ $\mathcal{FZ}$ -simulation functions, and employ it to define a new contractive condition. We also prove some new fixed and best proximity point results in the context of an M-complete fuzzy metric space. The presented theorems unify, generalize, and improve several existing results in the literature.
Keywords