2019/01/09 by Özgür, Nihal Yilmaz
#46T99 #47H09 #47H10 #54C30 #54H25 #FOS: Mathematics #Metric Geometry (math.MG)
paper · doi:10.48550/arxiv.1901.02623
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.