SOME CRITICAL REMARKS ON THE MULTIPLICATIVE METRIC SPACES AND FIXED POINT RESULTS

In this short note, we show that every multiplicative metric on a nonempty set X induces a metric on X in such a way that the topologies induced by multiplicative metric and the induced metric are same. Therefore, the multiplicative metric spaces are a particular case of metric spaces. Further, the fixed point results for various multiplicative contractions in such spaces can be obtained by the corresponding fixed point results in metric spaces.