@article { author = {Hezarjaribi, Masoomeh}, title = {Meir-Keeler Type Contraction Mappings in $c_0$-triangular Fuzzy Metric Spaces}, journal = {Sahand Communications in Mathematical Analysis}, volume = {11}, number = {1}, pages = {25-41}, year = {2018}, publisher = {University of Maragheh}, issn = {2322-5807}, eissn = {2423-3900}, doi = {10.22130/scma.2018.60715.215}, abstract = {Proving  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.}, keywords = {$c_0$-triangular fuzzy metric space,$\alpha\Delta$-Meir-Keeler contractive,Fixed point}, url = {https://scma.maragheh.ac.ir/article_31436.html}, eprint = {https://scma.maragheh.ac.ir/article_31436_7931223a921acacbf9af5f50b37f2216.pdf} }