New Generalized Fixed Point Results on $S_b$-Metric Spaces

Recently $S_b$-metric spaces have been introduced as the generalizations of metric and $S$-metric spaces. In this paper we investigate some basic properties of this new space. 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 which is generated by a metric.