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

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 SS-metric spaces. We investigate existence and uniqueness conditions for fixed circles of self-mappings on an SS-metric space. Some examples of self-mappings having fixed circles are also given.Comment: 15 pages, 2 figure

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