Meir-Keeler Type Contraction Mappings in $c_0$-triangular Fuzzy Metric Spaces
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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 $alphaDelta$-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.
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Journal title
volume 11 issue 1
pages 25- 41
publication date 2018-08-01
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