Recently, S -metric spaces are introduced as a generalization of metric spaces. In this paper, we consider the relationships between of an S -metric space and a metric space, and give an example of an S -metric which does not generate a metric. Then, we introduce new contractive mappings on S -metric spaces and investigate relationships among them by counterexamples. In addition, we obtain new fixed point theorems on S -metric spaces.
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Özgür et al. (2016) studied this question.
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