Sony has announced that it is terminating support for Facebook on the PS3 and PS Vita. Full support will be withdrawn at the start of next year, but the application for the PS Vita and PlayStation TV has already been removed from the PlayStation Store as of September 15th 2015. Support will continue for the PS4 so you can continue to upload videos and screenshots.
Sony made the following statement:
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.