The doubled look may not be caused only by Photoshop. In your image, bright background lights appear to create a strobing/ghosting effect, so blur reduction can exaggerate those already-separated edges.

In Photoshop, the usual tool for this is Filter > Sharpen > Shake Reduction (in newer CC versions). If the automatic result looks doubled, the blur estimate is probably wrong. Try adjusting the blur correction more carefully—especially the amount and direction of motion blur in the filter’s advanced controls—rather than relying on the automatic setting.

A few practical points:

• Ghosting from multiple light exposures or strobing can’t always be fully removed.
• Different parts of the image may need different settings.
• If Photoshop locks onto sharper background lights instead of the subject, the correction can look worse.

So the main fix is to use Shake Reduction more selectively and tune the motion direction/strength manually. If the source image contains true ghosting from lights, some doubling may remain no matter what filter you use.