Turkish Journal of Mathematics
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.
DOI
10.3906/mat-1812-44
Keywords
Fixed disc, fixed circle, simulation function, metric space
First Page
2794
Last Page
2805
Recommended Citation
ÖZGÜR, N (2019). Fixed-disc results via simulation functions. Turkish Journal of Mathematics 43 (6): 2794-2805. https://doi.org/10.3906/mat-1812-44
