Some new contractive mappings on S-metric spaces and their relationships with the mapping (S25)

By Nihal Yilmaz Özgür, Nihal Tas. 2017

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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.

Subfields: Astronomy and Astrophysics, Geometry and Topology

View Paper: https://www.semanticscholar.org/paper/98013ac5a292762cb5ae4dc4c0a8233a454f1742