We have narrations from Ahlul Bayt (AS) stating that it is recommended after Du's to wipe your hands on your face. Your hands seeking from Allah in Du'a will never be empty from the gifts and bounties of Allah. Wiping on your face will make your face blessed as well. This is not during Salah.
We don't have any authentic evidence on wiping hand after reciting Sura Al-Fatiha. Some people do it just because it is been done by Sunni brothers who read Sura Al-Fatiha like a Du'a. It has no authentic evidence neither in our books nor in Sunni books.
Wassalam.