Multisite subdomain mapping, user automatically logged into all sub sites at once.

I have a Multisite with Multi-Domain subdomain settings.

My main site is, I have many subsites which are,,

Some sites are being domain mapped (using the domain mapping plugin) , eg: ->

Now my problem is:
If I login onto, I will automatically be logged into Its the same with sign out.

However I guess it's the way mapped domain works, luckily do not have this "automatic login" problem.

I guess it has gotta be a cookie issue where instead different cookies for &, they share the same cookie called

Is there any solution to this? I do not want the sign in to be linked within subdomain installation.