New discontinuity results at fixed point on metric spaces

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作者
Nihal Özgür
Nihal Taş
机构
[1] Balıkesir University,Department of Mathematics
关键词
Fixed point; common fixed point; fixed circle; discontinuity; Primary 54H25; Secondary 47H10; 55M20;
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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.
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