In this paper, our aim is to obtain new fixed-disc results on metric spaces. To do this, we present a new approach using the set of simulation functions and some known fixed-point techniques. We do not need to have some strong conditions such as completeness or compactness of the metric space or continuity of the self-mapping in our results. Taking only one geometric condition, we ensure the existence of a fixed disc of a new type contractive mapping.
Fixed disc, fixed circle, simulation function, metric space
"Fixed-disc results via simulation functions,"
Turkish Journal of Mathematics: Vol. 43:
6, Article 11.
Available at: https://journals.tubitak.gov.tr/math/vol43/iss6/11