Fuzzy <mml:semantics>H</mml:semantics>-Quasi-Contraction and Fixed Point Theorems in Tripled Fuzzy Metric Spaces

We consider the concept of fuzzy H-quasi-contraction (FH-QC for short) initiated by & Cacute;iri & cacute; in tripled fuzzy metric spaces (T-FMSs for short) and present a new fixed point theorem (FPT for short) for FH-QC in complete T-FMSs. As an application, we prove the corresponding results of the previous literature in setting fuzzy metric spaces (FMSs for short). Moreover, we obtain theorems of sufficient and necessary conditions which can be used to demonstrate the existence of fixed points. In addition, we construct relevant examples to illustrate the corresponding results. Finally, we show the existence and uniqueness of solutions for integral equations by applying our new results.