There are only a couple of novels or movies that explore this. Underworld (the franchise), perhaps Twilight.
By and large, it appears that such are referred to as hybrids.
a Lycan or a Vampire-Werewolf hybrid
A werewolf and vampire mix is called an Abomination. It utterly should never exist.
werepire
A mix of a werewolf and a vampire is known as a hybrid. I've researched and this mix is known as a hybrid vampire.
Vampire vs. Werewolf: The Game
She Is A Werewolf and a vampire
she is your step sister or one of your parents is a werewolf and the other is a vampire
Beast + Wrath
The werewolf character in The Vampire Diaries is Tyler Lockwood. He transforms into a werewolf due to a family curse that gets triggered by the full moon. Tyler's werewolf nature becomes a significant aspect of his character arc throughout the series.
half of a real werewolf It is actually called a Lycanthrope. Lycan coming from King Lycaon who was turned into a werewolf by Zeus for serving him human flesh. It is not called "half of a real werewolf" it is officially called a lycanthrope. Hybird
Vampire
Yes because your bloodline can be a werewolf bloodline and you could been turned into a vampire.