- Konuralp Journal of Mathematics
- Vol: 9 Issue: 1
- New Generalized Fixed Point Results on $S_{b}$-Metric Spaces
New Generalized Fixed Point Results on $S_{b}$-Metric Spaces
Authors : Nihal Taş, Nihal Özgür
Pages : 24-32
View : 9 | Download : 7
Publication Date : 2021-04-28
Article Type : Research
Abstract :Recently $S_{b}$-metric spaces have been introduced as the generalizations of metric and $S$-metric spaces. In this paper, we generalize the classical Banach's contraction principle using the theory of a complete $S_{b}$-metric space. Also, we give an application to linear equation systems using the $S_{b}$-metric generated by a metric.Keywords : $S_{b}$-metric space, fixed point, Banach's contraction principle, linear equation