University of MaraghehSahand Communications in Mathematical Analysis2322-580711120180801Meir-Keeler Type Contraction Mappings in $c_0$-triangular Fuzzy Metric Spaces25413143610.22130/scma.2018.60715.215ENMasoomehHezarjaribiDepartment of Mathematics, Payame Noor University, p.o.box.19395-3697, Tehran, Iran.Journal Article20170312Proving fixed point theorem in a fuzzy metric space is not possible for Meir-Keeler contractive mapping. For this, we introduce the notion of $c_0$-triangular fuzzy metric space. This new space allows us to prove some fixed point theorems for Meir-Keeler contractive mapping. As some pattern we introduce the class of $\alpha\Delta$-Meir-Keeler contractive and we establish some results of fixed point for such a mapping in the setting of $c_0$-triangular fuzzy metric space. An example is furnished to demonstrate the validity of these obtained results.https://scma.maragheh.ac.ir/article_31436_7931223a921acacbf9af5f50b37f2216.pdf