  The Banach contraction principle is the most celebrated fixed point theorem,
it has been generalized in various directions.
  In this paper, inspired by the concept of $(\phi, F)-$contraction in metric
spaces, introduced by Wardowski.
  We present the notion of $(\phi, F)-$contraction in $b-$rectangular metric
spaces to study the existence and uniqueness of fixed point for the mappings in
this spaces. Our results improve many existing results.
