  In this paper we present some fixed-figure theorems as a geometric approach
to the fixed-point theory when the number of fixed points of a self-mapping is
more than one. To do this, we modify the Jleli-Samet type contraction and
define new contractions on $S_{b}$-metric spaces. Also, we give some necessary
examples to show the validity of our theoretical results.
  Keywords: Fixed figure, fixed disc, fixed ellipse, fixed hyperbola, fixed
Cassini curve, fixed Apollonius circle.
