Recently, it was given some interesting fixed-circle theorems on metricspaces. In this paper our aim is to obtain some fixed-circle theorems on$S$-metric spaces. We recall some basic facts about $S$-metric spaces andpresent new examples of $S$-metric spaces. We define the notion of a fixedcircle and investigate existence and uniqueness of fixed-circle theorems forself-mappings on $S$-metric spaces. Also some examples of self-mappings havingfixed circles are given with a geometric viewpoint.
展开▼
机译：最近，在Metricspaces上给出了一些有趣的固定圆定理。在本文中，我们的目标是获得$ S $-Metric空间的一些固定圈定理。我们记得一些关于$ S $ Metric Spaces的一些基本事实，并且是S $-Metric空格的新示例。我们定义了固定点的概念，并调查$ S $ -metric空格的固定圈定理的存在和唯一性。还给出了具有几何视点的有固定圆圈的自映射的一些示例。
展开▼
