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

2017/04/28 by Nihal Yılmaz Özgür, Özgür, Nihal Yilmaz, Nıhal Taş +1
Mathematics · Physics and Astronomy · #37E10 #47H10 #54H25 #55M20 #Advanced Differential Geometry Research #FOS: Mathematics #Fixed Point Theorems Analysis #Metric Geometry (math.MG)

paper · pdf · doi:10.48550/arxiv.1704.08838

openalex publication_date 2017/04/28 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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.

Citations

• Sur les opérations dans les ensembles abstraits et leur application aux équations intégrales

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