Title: New Generalized Fixed Point Results on $S_{b}$-Metric Spaces,
Abstract: 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.