Fixed point theorems in cone metric spaces via $w-$distance over topological module

Abstract: 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.