Fixed-disc results via simulation functions
Authors : Nihal Özgür
Pages : 2794-2805
View : 9 | Download : 5
Publication Date : 9999-12-31
Article Type : Makaleler
Abstract :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.Keywords : Fixed disc, fixed circle, simulation function, metric space