New discontinuity results at fixed point on metric spaces

被引：8

作者：

Ozgur, Nihal ^{[1
]}

Tas, Nihal ^{[1
]}

机构：

[1] Balikesir Univ, Dept Math, TR-10145 Balikesir, Turkey

来源：

JOURNAL OF FIXED POINT THEORY AND APPLICATIONS | 2021年 / 23卷 / 02期

关键词：

Fixed point; common fixed point; fixed circle; discontinuity;

D O I：

10.1007/s11784-021-00863-3

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Recently, the discontinuity problem at a fixed point has been studied by various aspects. In this paper, we investigate new solutions to the discontinuity problem using appropriate contractive conditions which are strong enough to generate fixed points (resp. common fixed points) but which do not force the map (resp. maps) to be continuous at fixed points. An application is also given to the fixed-circle problem on a metric space.

引用

页数：14

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