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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] putforth the idea of cone metric spaces over topological module. In this paper, wecompose these concepts together and introduce cone metric spaces with$w-$distance over topological module and then prove some fixed point theorems.

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