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

Journal: Sahand Communications in Mathematical Analysis (Vol.11, No. 1)

Publication Date:

Authors : ;

Page : 25-41

Keywords : $c_0$-triangular fuzzy metric space; $\alpha\Delta$-Meir-Keeler contractive; Fixed point;

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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.

Last modified: 2019-04-28 14:06:53