A new solution to the discontinuity problem on metric spaces
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Erişim
info:eu-repo/semantics/openAccessAttribution 3.0 United Stateshttp://creativecommons.org/licenses/by/3.0/us/Tarih
2020Üst veri
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We study on the Rhoades' question concerning the discontinuity problem at fixed point for a self-mapping T of a metric space. We obtain a new solution to this question. Our result generalizes some recent theorems existing in the literature and implies the uniqueness of the fixed point. However, there are also cases where the fixed point set of a self-mapping contains more than 1 element. Therefore, by a geometric point of view, we extend the Rhoades' question to the case where the fixed point set is a circle. We also give a solution to this extended version.
Kaynak
Turkish Journal of MathematicsCilt
44Sayı
4Koleksiyonlar
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