Meir-Keeler Type Contraction Mappings in $c_0$-triangular Fuzzy Metric Spaces

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 $alphaDelta$-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 , $alphaDelta$-Meir-Keeler contractive , Fixed point