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

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Bibliographic Details
Main Authors:	Özgür, Nihal Yilmaz, Taş, Nihal
Format:	Preprint
Published:	2017
Subjects:	Metric Geometry 47H10, 54H25, 55M20, 37E10
Online Access:	Acceder al recurso
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_version_	1866908395476353024
author	Özgür, Nihal Yilmaz Taş, Nihal
author_facet	Özgür, Nihal Yilmaz Taş, Nihal
contents	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.
format	Preprint
id	arxiv_https___arxiv_org_abs_1704_08838
institution	arXiv
publishDate	2017
record_format	arxiv
spellingShingle	Fixed-Circle Problem on S-Metric Spaces with a Geometric Viewpoint Özgür, Nihal Yilmaz Taş, Nihal Metric Geometry 47H10, 54H25, 55M20, 37E10 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.
title	Fixed-Circle Problem on S-Metric Spaces with a Geometric Viewpoint
topic	Metric Geometry 47H10, 54H25, 55M20, 37E10
url	https://arxiv.org/abs/1704.08838

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