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arXiv · 1704.08838

Fixed-Circle Problem on S-Metric Spaces with a Geometric Viewpoint

Nihal Yilmaz Özgür·Nihal Taş
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Abstract

Recently, a new geometric approach which is called the fixed-circle problem has been gained to fixed-point theory. The problem is introduced and studied using different techniques on metric spaces. In this paper, we consider the fixed-circle problem on $S$-metric spaces. We investigate existence and uniqueness conditions for fixed circles of self-mappings on an $S$-metric space. Some examples of self-mappings having fixed circles are also given.

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Nihal Yilmaz Özgür, Nihal Taş. 2017-04-28. Fixed-Circle Problem on S-Metric Spaces with a Geometric Viewpoint. https://doi.org/10.22190/fumi1903459o

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