The long, slow, and rather sad death of the PlayStation 3 continues with Facebook support being withdrawn at the start of next year. Facebook is also being removed from PlayStation Vita, here is the full statement from Sony.
In January 2016* Sony Computer Entertainment Inc. will terminate support for the Facebook features integrated within the PlayStation®3 and PlayStation®Vita systems, as well as the Facebook applications for PlayStation®Vita and PlayStation®TV. In anticipation of this change, the Facebook applications will no longer be available for download from PlayStation®Store as of 15 September, 2015.
Facebook will continue to be supported on PlayStation 4 so you can carry on posting videos of amusing Grand Theft Auto V deaths.