The taharah is not established by this; when you wipe the najis part of your floor with the mop, it becomes najis every time you do that, and the najasah is spread to surrounding areas.
One should pour the water on the najis part of the floor, and collect the water with a cloth, and the place will become tahir.
<p style="text-align: left;">It is permissible to recite Tasbihaat three times or recite the Al-Fatihah. If the latter is chosen, the Bismillah should be recited silently during the mentioned Raka'ahs.</p>
If the son prevents his siblings from using the house that they all share, then he is considered as a usurper. The same applies if they asked him in this case for rent and he refused to pay it to them.