  The concept of cone metric spaces with $w-$distance was introduced by H.
Lakzian and F. Arabyani [16] in $2009.$ In $2020,$ Branga and Olaru [4] put
forth the idea of cone metric spaces over topological module. In this paper, we
compose these concepts together and introduce cone metric spaces with
$w-$distance over topological module and then prove some fixed point theorems.
