This issue is an unending source of discussion. The thing is, you cannot eliminate wingtip or wake vortices by putting a finite barrier at the wing tip, no matter how large. This is because [begin hand-waving approximation] for a wing to produce lift, it is necessary for the airflow passing in close proximity to the wing to be deflected downwards (no acceleration, no force.) This unavoidably creates a region of shear at the boundary between this wake and the surrounding air mass, leading it to 'roll up' into two counter-rotating vortices (as this is a hand-waving approximation, I won't mention the circulation around the transverse axis of the wing...)
We can't banish them, but you can do things to reduce them, the simplest of which is to move the tips further apart (i.e. lengthen the wings.) Everything about airplane design is a compromise, however.