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

• Fixed point theory
• Fuzzy metric
• Fuzzy contraction
• FZ $\mathcal{FZ}$ -simulation function