Bahri TURAN, Cüneyt ÇEVİK

A Note on The Equivalence of Some Metric and Non-Newtonian Metric Results

In this short note is on the equivalence between non-Newtonian metric (particularly multiplicative metric) and metric. We present a different proof the fact that the notion of a non-Newtonian metric space is not more general than that of a metric space. Also, we emphasize that a lot of fixed point results in the non-Newtonian metric setting can be directly obtained from their metric counterparts.

Keywords:

Arithmetic, non-Newtonian metric multiplicative metric, fixed point,

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