Karapinar, E.Mathematics2024-07-052024-07-0520201583-50222066-920810.24193/fpt-ro.2020.1.152-s2.0-85085052992https://doi.org/10.24193/fpt-ro.2020.1.15https://hdl.handle.net/20.500.14411/3490KARAPINAR, ERDAL/0000-0002-6798-3254In this paper, we investigate one of the classical problems of the metric fixed point theory: Whether there is a contraction condition which does not force the mapping to be continuous at the fixed point. We propose a contraction conditions in rational form that has a unique fixed point but not necessarily continuous at the given fixed point.eninfo:eu-repo/semantics/openAccessDiscontinuityfixed point theoremsmetric spaceArticleQ2Q3211211220WOS:0005198968000153