This name is a synonym of Soliva stolonifera (Brot.) R.Br. ex Sweet.
The record derives from TICA
(data supplied on 2012-02-11)
which reports it as a synonym (record 425E46F4-3AF7-4031-AB07-52F9AFB0282C).
This name record (from TICA) was not included in version 1 of The Plant List. It is possible the same name was included from a different data source, to check this you can search for Gymnostyles stolonifera in version 1 of The Plant List.