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Fixed-Circle Problem on S-Metric Spaces with a Geometric Viewpoint (1704.08838v3)
Published 28 Apr 2017 in math.MG
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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